Solve 3x(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

$$3x(x+y)+y(x+y)$$

Evaluate

$\left(x+y\right)\left(3x+y\right)$

Solution Steps

Use the distributive property to multiply $3x$ by $x+y$.

$$3x^{2}+3xy+y\left(x+y\right)$$

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

$$3x^{2}+3xy+yx+y^{2}$$

Combine $3xy$ and $yx$ to get $4xy$.

$$3x^{2}+4xy+y^{2}$$

Expand

$3x^{2}+4xy+y^{2}$

Solution Steps

Use the distributive property to multiply $3x$ by $x+y$.

$$3x^{2}+3xy+y\left(x+y\right)$$

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

$$3x^{2}+3xy+yx+y^{2}$$

Combine $3xy$ and $yx$ to get $4xy$.

$$3x^{2}+4xy+y^{2}$$