Álgebra Ejemplos

$7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$

Paso 1

Factoriza $(3 x + 2) {(x - 1)}^{2}$ de $7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$ .

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Paso 1.1

Factoriza $(3 x + 2) {(x - 1)}^{2}$ de $7 {(3 x + 2)}^{2} {(x - 1)}^{2}$ .

$(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2)) + (3 x + 2) {(x - 1)}^{3}$

Paso 1.2

Factoriza $(3 x + 2) {(x - 1)}^{2}$ de $(3 x + 2) {(x - 1)}^{3}$ .

$(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2)) + (3 x + 2) {(x - 1)}^{2} (x - 1)$

Paso 1.3

Factoriza $(3 x + 2) {(x - 1)}^{2}$ de $(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2)) + (3 x + 2) {(x - 1)}^{2} (x - 1)$ .

$(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2) + x - 1)$

Paso 2

Aplica la propiedad distributiva.

$(3 x + 2) {(x - 1)}^{2} (7 (3 x) + 7 \cdot 2 + x - 1)$

Paso 3

Multiplica $3$ por $7$ .

$(3 x + 2) {(x - 1)}^{2} (21 x + 7 \cdot 2 + x - 1)$

Paso 4

Multiplica $7$ por $2$ .

$(3 x + 2) {(x - 1)}^{2} (21 x + 14 + x - 1)$

Paso 5

Suma $21 x$ y $x$ .

$(3 x + 2) {(x - 1)}^{2} (22 x + 14 - 1)$

Paso 6

Resta $1$ de $14$ .

$(3 x + 2) {(x - 1)}^{2} (22 x + 13)$