Álgebra Ejemplos

$f (x) = x^{3} - x^{2} + 10$ $g (x) = 3 x^{2} + 2 x - 10$ $h (x) = 2 x^{3} + 2 x^{2} - 3 x$

Paso 1

Establece la función de resultado compuesta.

$f (h (x))$

Paso 2

Evalúa $f (2 x^{3} + 2 x^{2} - 3 x)$ mediante la sustitución del valor de $h$ en $f$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = {(2 x^{3} + 2 x^{2} - 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3

Simplifica cada término.

Toca para ver más pasos...

Paso 3.1

Usa el teorema multinomial.

$f (2 x^{3} + 2 x^{2} - 3 x) = {(2 x^{3})}^{3} + 3 {(2 x^{3})}^{2} (2 x^{2}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2

Simplifica cada término.

Toca para ver más pasos...

Paso 3.2.1

Aplica la regla del producto a $2 x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 2^{3} {(x^{3})}^{3} + 3 {(2 x^{3})}^{2} (2 x^{2}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.2

Eleva $2$ a la potencia de $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 {(x^{3})}^{3} + 3 {(2 x^{3})}^{2} (2 x^{2}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.3

Multiplica los exponentes en ${(x^{3})}^{3}$ .

Toca para ver más pasos...

Paso 3.2.3.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{3 \cdot 3} + 3 {(2 x^{3})}^{2} (2 x^{2}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.3.2

Multiplica $3$ por $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 3 {(2 x^{3})}^{2} (2 x^{2}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.4

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 3 \cdot (2 {(2 x^{3})}^{2} x^{2}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.5

Multiplica $3$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 {(2 x^{3})}^{2} x^{2} + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.6

Aplica la regla del producto a $2 x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (2^{2} {(x^{3})}^{2}) x^{2} + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.7

Eleva $2$ a la potencia de $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (4 {(x^{3})}^{2}) x^{2} + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.8

Multiplica los exponentes en ${(x^{3})}^{2}$ .

Toca para ver más pasos...

Paso 3.2.8.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (4 x^{3 \cdot 2}) x^{2} + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.8.2

Multiplica $3$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (4 x^{6}) x^{2} + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.9

Multiplica $x^{6}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.9.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (4 (x^{2} x^{6})) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.9.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (4 x^{2 + 6}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.9.3

Suma $2$ y $6$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 6 (4 x^{8}) + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.10

Multiplica $4$ por $6$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 3 (2 x^{3}) {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.11

Multiplica $2$ por $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 6 x^{3} {(2 x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.12

Aplica la regla del producto a $2 x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 6 x^{3} (2^{2} {(x^{2})}^{2}) + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.13

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 6 \cdot (2^{2} x^{3} {(x^{2})}^{2}) + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.14

Eleva $2$ a la potencia de $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 6 \cdot (4 x^{3} {(x^{2})}^{2}) + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.15

Multiplica $6$ por $4$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{3} {(x^{2})}^{2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.16

Multiplica los exponentes en ${(x^{2})}^{2}$ .

Toca para ver más pasos...

Paso 3.2.16.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{3} x^{2 \cdot 2} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.16.2

Multiplica $2$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{3} x^{4} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.17

Multiplica $x^{3}$ por $x^{4}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.17.1

Mueve $x^{4}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 (x^{4} x^{3}) + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.17.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{4 + 3} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.17.3

Suma $4$ y $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + {(2 x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.18

Aplica la regla del producto a $2 x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 2^{3} {(x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.19

Eleva $2$ a la potencia de $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 {(x^{2})}^{3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.20

Multiplica los exponentes en ${(x^{2})}^{3}$ .

Toca para ver más pasos...

Paso 3.2.20.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{2 \cdot 3} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.20.2

Multiplica $2$ por $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} + 3 {(2 x^{3})}^{2} (- 3 x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.21

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} + 3 \cdot (- 3 {(2 x^{3})}^{2} x) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.22

Multiplica $3$ por $- 3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 {(2 x^{3})}^{2} x + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.23

Aplica la regla del producto a $2 x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (2^{2} {(x^{3})}^{2}) x + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.24

Eleva $2$ a la potencia de $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (4 {(x^{3})}^{2}) x + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.25

Multiplica los exponentes en ${(x^{3})}^{2}$ .

Toca para ver más pasos...

Paso 3.2.25.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (4 x^{3 \cdot 2}) x + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.25.2

Multiplica $3$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (4 x^{6}) x + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.26

Multiplica $x^{6}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.26.1

Mueve $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (4 (x \cdot x^{6})) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.26.2

Multiplica $x$ por $x^{6}$ .

Toca para ver más pasos...

Paso 3.2.26.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.2.26.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (4 x^{1 + 6}) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.26.3

Suma $1$ y $6$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 9 (4 x^{7}) + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.27

Multiplica $4$ por $- 9$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 x^{3}) (2 x^{2}) (- 3 x) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.28

Multiplica $x^{3}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.28.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 (x^{2} x^{3})) \cdot (2 (- 3 x)) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.28.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 x^{2 + 3}) \cdot (2 (- 3 x)) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.28.3

Suma $2$ y $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 x^{5}) \cdot (2 (- 3 x)) + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.29

Multiplica $x^{5}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.29.1

Mueve $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 (x \cdot x^{5})) \cdot 2 \cdot - 3 + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.29.2

Multiplica $x$ por $x^{5}$ .

Toca para ver más pasos...

Paso 3.2.29.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.2.29.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 x^{1 + 5}) \cdot 2 \cdot - 3 + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.29.3

Suma $1$ y $5$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 6 (2 x^{6}) \cdot 2 \cdot - 3 + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.30

Multiplica $2$ por $6$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 12 x^{6} \cdot 2 \cdot - 3 + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.31

Multiplica $2$ por $12$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} + 24 x^{6} \cdot - 3 + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.32

Multiplica $- 3$ por $24$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} + 3 {(2 x^{2})}^{2} (- 3 x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.33

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} + 3 \cdot (- 3 {(2 x^{2})}^{2} x) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.34

Multiplica $3$ por $- 3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 {(2 x^{2})}^{2} x + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.35

Aplica la regla del producto a $2 x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (2^{2} {(x^{2})}^{2}) x + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.36

Eleva $2$ a la potencia de $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (4 {(x^{2})}^{2}) x + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.37

Multiplica los exponentes en ${(x^{2})}^{2}$ .

Toca para ver más pasos...

Paso 3.2.37.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (4 x^{2 \cdot 2}) x + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.37.2

Multiplica $2$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (4 x^{4}) x + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.38

Multiplica $x^{4}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.38.1

Mueve $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (4 (x \cdot x^{4})) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.38.2

Multiplica $x$ por $x^{4}$ .

Toca para ver más pasos...

Paso 3.2.38.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.2.38.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (4 x^{1 + 4}) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.38.3

Suma $1$ y $4$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 9 (4 x^{5}) + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.39

Multiplica $4$ por $- 9$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 3 (2 x^{3}) {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.40

Multiplica $2$ por $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 x^{3} {(- 3 x)}^{2} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.41

Aplica la regla del producto a $- 3 x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 x^{3} ({(- 3)}^{2} x^{2}) + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.42

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 \cdot ({(- 3)}^{2} x^{3} x^{2}) + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.43

Multiplica $x^{3}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.43.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 \cdot ({(- 3)}^{2} (x^{2} x^{3})) + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.43.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 \cdot ({(- 3)}^{2} x^{2 + 3}) + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.43.3

Suma $2$ y $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 \cdot ({(- 3)}^{2} x^{5}) + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.44

Eleva $- 3$ a la potencia de $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 6 \cdot (9 x^{5}) + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.45

Multiplica $6$ por $9$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 3 (2 x^{2}) {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.46

Multiplica $2$ por $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 x^{2} {(- 3 x)}^{2} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.47

Aplica la regla del producto a $- 3 x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 x^{2} ({(- 3)}^{2} x^{2}) + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.48

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 \cdot ({(- 3)}^{2} x^{2} x^{2}) + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.49

Multiplica $x^{2}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.2.49.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 \cdot ({(- 3)}^{2} (x^{2} x^{2})) + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.49.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 \cdot ({(- 3)}^{2} x^{2 + 2}) + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.49.3

Suma $2$ y $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 \cdot ({(- 3)}^{2} x^{4}) + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.50

Eleva $- 3$ a la potencia de $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 6 \cdot (9 x^{4}) + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.51

Multiplica $6$ por $9$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 54 x^{4} + {(- 3 x)}^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.52

Aplica la regla del producto a $- 3 x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 54 x^{4} + {(- 3)}^{3} x^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.2.53

Eleva $- 3$ a la potencia de $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} + 24 x^{7} + 8 x^{6} - 36 x^{7} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 54 x^{4} - 27 x^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.3

Resta $36 x^{7}$ de $24 x^{7}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} + 8 x^{6} - 72 x^{6} - 36 x^{5} + 54 x^{5} + 54 x^{4} - 27 x^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.4

Resta $72 x^{6}$ de $8 x^{6}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} - 36 x^{5} + 54 x^{5} + 54 x^{4} - 27 x^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.5

Suma $- 36 x^{5}$ y $54 x^{5}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - {(2 x^{3} + 2 x^{2} - 3 x)}^{2} + 10$

Paso 3.6

Reescribe ${(2 x^{3} + 2 x^{2} - 3 x)}^{2}$ como $(2 x^{3} + 2 x^{2} - 3 x) (2 x^{3} + 2 x^{2} - 3 x)$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - ((2 x^{3} + 2 x^{2} - 3 x) (2 x^{3} + 2 x^{2} - 3 x)) + 10$

Paso 3.7

Expande $(2 x^{3} + 2 x^{2} - 3 x) (2 x^{3} + 2 x^{2} - 3 x)$ mediante la multiplicación de cada término de la primera expresión por cada término de la segunda expresión.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (2 x^{3} (2 x^{3}) + 2 x^{3} (2 x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8

Simplifica cada término.

Toca para ver más pasos...

Paso 3.8.1

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (2 \cdot (2 x^{3} x^{3}) + 2 x^{3} (2 x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.2

Multiplica $x^{3}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.2.1

Mueve $x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (2 \cdot (2 (x^{3} x^{3})) + 2 x^{3} (2 x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (2 \cdot (2 x^{3 + 3}) + 2 x^{3} (2 x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.2.3

Suma $3$ y $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (2 \cdot (2 x^{6}) + 2 x^{3} (2 x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.3

Multiplica $2$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 2 x^{3} (2 x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.4

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 2 \cdot (2 x^{3} x^{2}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.5

Multiplica $x^{3}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.5.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 2 \cdot (2 (x^{2} x^{3})) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.5.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 2 \cdot (2 x^{2 + 3}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.5.3

Suma $2$ y $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 2 \cdot (2 x^{5}) + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.6

Multiplica $2$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} + 2 x^{3} (- 3 x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.7

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} + 2 \cdot (- 3 x^{3} x) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.8

Multiplica $x^{3}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.8.1

Mueve $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} + 2 \cdot (- 3 (x \cdot x^{3})) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.8.2

Multiplica $x$ por $x^{3}$ .

Toca para ver más pasos...

Paso 3.8.8.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.8.8.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} + 2 \cdot (- 3 x^{1 + 3}) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.8.3

Suma $1$ y $3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} + 2 \cdot (- 3 x^{4}) + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.9

Multiplica $2$ por $- 3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 2 x^{2} (2 x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.10

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 2 \cdot (2 x^{2} x^{3}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.11

Multiplica $x^{2}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.11.1

Mueve $x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 2 \cdot (2 (x^{3} x^{2})) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.11.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 2 \cdot (2 x^{3 + 2}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.11.3

Suma $3$ y $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 2 \cdot (2 x^{5}) + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.12

Multiplica $2$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 2 x^{2} (2 x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.13

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 2 \cdot (2 x^{2} x^{2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.14

Multiplica $x^{2}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.14.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 2 \cdot (2 (x^{2} x^{2})) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.14.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 2 \cdot (2 x^{2 + 2}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.14.3

Suma $2$ y $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 2 \cdot (2 x^{4}) + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.15

Multiplica $2$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} + 2 x^{2} (- 3 x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.16

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} + 2 \cdot (- 3 x^{2} x) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.17

Multiplica $x^{2}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.17.1

Mueve $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} + 2 \cdot (- 3 (x \cdot x^{2})) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.17.2

Multiplica $x$ por $x^{2}$ .

Toca para ver más pasos...

Paso 3.8.17.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.8.17.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} + 2 \cdot (- 3 x^{1 + 2}) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.17.3

Suma $1$ y $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} + 2 \cdot (- 3 x^{3}) - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.18

Multiplica $2$ por $- 3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 3 x (2 x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.19

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 3 \cdot (2 x \cdot x^{3}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.20

Multiplica $x$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.20.1

Mueve $x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 3 \cdot (2 (x^{3} x)) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.20.2

Multiplica $x^{3}$ por $x$ .

Toca para ver más pasos...

Paso 3.8.20.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.8.20.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 3 \cdot (2 x^{3 + 1}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.20.3

Suma $3$ y $1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 3 \cdot (2 x^{4}) - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.21

Multiplica $- 3$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 3 x (2 x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.22

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 3 \cdot (2 x \cdot x^{2}) - 3 x (- 3 x)) + 10$

Paso 3.8.23

Multiplica $x$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.23.1

Mueve $x^{2}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 3 \cdot (2 (x^{2} x)) - 3 x (- 3 x)) + 10$

Paso 3.8.23.2

Multiplica $x^{2}$ por $x$ .

Toca para ver más pasos...

Paso 3.8.23.2.1

Eleva $x$ a la potencia de $1$ .

Paso 3.8.23.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 3 \cdot (2 x^{2 + 1}) - 3 x (- 3 x)) + 10$

Paso 3.8.23.3

Suma $2$ y $1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 3 \cdot (2 x^{3}) - 3 x (- 3 x)) + 10$

Paso 3.8.24

Multiplica $- 3$ por $2$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} - 3 x (- 3 x)) + 10$

Paso 3.8.25

Reescribe con la propiedad conmutativa de la multiplicación.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} - 3 \cdot (- 3 x \cdot x)) + 10$

Paso 3.8.26

Multiplica $x$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 3.8.26.1

Mueve $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} - 3 \cdot (- 3 (x \cdot x))) + 10$

Paso 3.8.26.2

Multiplica $x$ por $x$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} - 3 \cdot (- 3 x^{2})) + 10$

Paso 3.8.27

Multiplica $- 3$ por $- 3$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 4 x^{5} - 6 x^{4} + 4 x^{5} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} + 9 x^{2}) + 10$

Paso 3.9

Suma $4 x^{5}$ y $4 x^{5}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 8 x^{5} - 6 x^{4} + 4 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} + 9 x^{2}) + 10$

Paso 3.10

Suma $- 6 x^{4}$ y $4 x^{4}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 8 x^{5} - 2 x^{4} - 6 x^{3} - 6 x^{4} - 6 x^{3} + 9 x^{2}) + 10$

Paso 3.11

Resta $6 x^{4}$ de $- 2 x^{4}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 8 x^{5} - 8 x^{4} - 6 x^{3} - 6 x^{3} + 9 x^{2}) + 10$

Paso 3.12

Resta $6 x^{3}$ de $- 6 x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6} + 8 x^{5} - 8 x^{4} - 12 x^{3} + 9 x^{2}) + 10$

Paso 3.13

Aplica la propiedad distributiva.

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - (4 x^{6}) - (8 x^{5}) - (- 8 x^{4}) - (- 12 x^{3}) - (9 x^{2}) + 10$

Paso 3.14

Simplifica.

Toca para ver más pasos...

Paso 3.14.1

Multiplica $4$ por $- 1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - 4 x^{6} - (8 x^{5}) - (- 8 x^{4}) - (- 12 x^{3}) - (9 x^{2}) + 10$

Paso 3.14.2

Multiplica $8$ por $- 1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - 4 x^{6} - 8 x^{5} - (- 8 x^{4}) - (- 12 x^{3}) - (9 x^{2}) + 10$

Paso 3.14.3

Multiplica $- 8$ por $- 1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - 4 x^{6} - 8 x^{5} + 8 x^{4} - (- 12 x^{3}) - (9 x^{2}) + 10$

Paso 3.14.4

Multiplica $- 12$ por $- 1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - 4 x^{6} - 8 x^{5} + 8 x^{4} + 12 x^{3} - (9 x^{2}) + 10$

Paso 3.14.5

Multiplica $9$ por $- 1$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 64 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - 4 x^{6} - 8 x^{5} + 8 x^{4} + 12 x^{3} - 9 x^{2} + 10$

Paso 4

Simplifica mediante la adición de términos.

Toca para ver más pasos...

Paso 4.1

Resta $4 x^{6}$ de $- 64 x^{6}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 68 x^{6} + 18 x^{5} + 54 x^{4} - 27 x^{3} - 8 x^{5} + 8 x^{4} + 12 x^{3} - 9 x^{2} + 10$

Paso 4.2

Resta $8 x^{5}$ de $18 x^{5}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 68 x^{6} + 10 x^{5} + 54 x^{4} - 27 x^{3} + 8 x^{4} + 12 x^{3} - 9 x^{2} + 10$

Paso 4.3

Suma $54 x^{4}$ y $8 x^{4}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 68 x^{6} + 10 x^{5} + 62 x^{4} - 27 x^{3} + 12 x^{3} - 9 x^{2} + 10$

Paso 4.4

Suma $- 27 x^{3}$ y $12 x^{3}$ .

$f (2 x^{3} + 2 x^{2} - 3 x) = 8 x^{9} + 24 x^{8} - 12 x^{7} - 68 x^{6} + 10 x^{5} + 62 x^{4} - 15 x^{3} - 9 x^{2} + 10$