Simplify x(x+y)+y(x+y)

$x (x + y) + y (x + y)$

Step 1

Simplify each term.

Apply the distributive property.

$x \cdot x + x y + y (x + y)$

Multiply $x$ by $x$ .

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

Apply the distributive property.

$x^{2} + x y + y x + y \cdot y$

Multiply $y$ by $y$ .

$x^{2} + x y + y x + y^{2}$

$x^{2} + x y + y x + y^{2}$

Step 2

Add $x y$ and $y x$ .

Reorder $y$ and $x$ .

$x^{2} + x y + x y + y^{2}$

Add $x y$ and $x y$ .

$x^{2} + 2 x y + y^{2}$

$x^{2} + 2 x y + y^{2}$

Related Questions