Álgebra Ejemplos

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

Paso 1

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

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Paso 1.1

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

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

Paso 1.2

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

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

Paso 1.3

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

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

Paso 2

Suma $2 x$ y $x$ .

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

Paso 3

Resta $3$ de $1$ .

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