How do you factor $x^{2} y^{2} + a y^{2} + a b + b x^{2}$ $x^2 y^2 + ay^2 + ab + bx^2$ ?

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Answer 1 · 2018-04-30T16:15:55

$= (x^{2} + a) (y^{2} + b)$ $color(magenta)(=(x^2+a)(y^2+b)$

$x^{2} y^{2} + a y^{2} + a b + b x^{2}$ $x^2y^2+ay^2+ab+bx^2$

By grouping the terms:

$= y^{2} (x^{2} + a) + b (a + x^{2})$ $=y^2(x^2+a)+b(a+x^2)$

$= (x^{2} + a) (y^{2} + b)$ $color(magenta)(=(x^2+a)(y^2+b)$

~Hope this helps! :)

How do you factor x2y2+ay2+ab+bx2x^2 y^2 + ay^2 + ab + bx^2?