Solve x(x + y) + y(x + y) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Evaluate

$\left(x+y\right)^{2}$

Solution Steps

Use the distributive property to multiply $x$ by $x+y$.

$$x^{2}+xy+y\left(x+y\right)$$

Use the distributive property to multiply $y$ by $x+y$.

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

Combine $xy$ and $yx$ to get $2xy$.

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

Expand

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

Solution Steps

Use the distributive property to multiply $x$ by $x+y$.

$$x^{2}+xy+y\left(x+y\right)$$

Use the distributive property to multiply $y$ by $x+y$.

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

Combine $xy$ and $yx$ to get $2xy$.

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