Algebra Examples

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

Step 1

Factor $x + y$ out of $a {(x + y)}^{2} + b^{2} (x + y)$ .

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Step 1.1

Factor $x + y$ out of $a {(x + y)}^{2}$ .

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

Step 1.2

Factor $x + y$ out of $b^{2} (x + y)$ .

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

Step 1.3

Factor $x + y$ out of $(x + y) (a (x + y)) + (x + y) b^{2}$ .

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

Step 2

Apply the distributive property.

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