Álgebra Ejemplos

$x^{5} y^{5} - x^{4} y^{3} + x^{3} y^{2} + x^{2} y^{2}$

Paso 1

Factoriza $x^{2} y^{2}$ de $x^{5} y^{5}$ .

$x^{2} y^{2} (x^{3} y^{3}) - x^{4} y^{3} + x^{3} y^{2} + x^{2} y^{2}$

Paso 2

Factoriza $x^{2} y^{2}$ de $- x^{4} y^{3}$ .

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

Paso 3

Factoriza $x^{2} y^{2}$ de $x^{3} y^{2}$ .

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

Paso 4

Factoriza $x^{2} y^{2}$ de $x^{2} y^{2}$ .

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

Paso 5

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

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

Paso 6

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

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

Paso 7

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

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