Solve (3x + 2y)(x + 1) - y(x + 1) | 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

$$(3x+2y)(x+1)-y(x+1)$$

Evaluate

$\left(x+1\right)\left(3x+y\right)$

Solution Steps

Apply the distributive property by multiplying each term of $3x+2y$ by each term of $x+1$.

$$3x^{2}+3x+2yx+2y-y\left(x+1\right)$$

Use the distributive property to multiply $y$ by $x+1$.

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

To find the opposite of $yx+y$, find the opposite of each term.

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

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

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

Combine $2y$ and $-y$ to get $y$.

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

Expand

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

Solution Steps

Apply the distributive property by multiplying each term of $3x+2y$ by each term of $x+1$.

$$3x^{2}+3x+2yx+2y-y\left(x+1\right)$$

Use the distributive property to multiply $y$ by $x+1$.

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

To find the opposite of $yx+y$, find the opposite of each term.

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

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

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

Combine $2y$ and $-y$ to get $y$.

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