Solve 3x(x + 2y) - y(x + 2y) | 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

$$3x(x+2y)-y(x+2y)$$

Evaluate

$\left(3x-y\right)\left(x+2y\right)$

Solution Steps

Use the distributive property to multiply $3x$ by $x+2y$.

$$3x^{2}+6xy-y\left(x+2y\right)$$

Use the distributive property to multiply $y$ by $x+2y$.

$$3x^{2}+6xy-\left(yx+2y^{2}\right)$$

To find the opposite of $yx+2y^{2}$, find the opposite of each term.

$$3x^{2}+6xy-yx-2y^{2}$$

Combine $6xy$ and $-yx$ to get $5xy$.

$$3x^{2}+5xy-2y^{2}$$

Expand

$3x^{2}+5xy-2y^{2}$

Solution Steps

Use the distributive property to multiply $3x$ by $x+2y$.

$$3x^{2}+6xy-y\left(x+2y\right)$$

Use the distributive property to multiply $y$ by $x+2y$.

$$3x^{2}+6xy-\left(yx+2y^{2}\right)$$

To find the opposite of $yx+2y^{2}$, find the opposite of each term.

$$3x^{2}+6xy-yx-2y^{2}$$

Combine $6xy$ and $-yx$ to get $5xy$.

$$3x^{2}+5xy-2y^{2}$$