Solve (m+n)(a-2)+(m-n)(a-2) | 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

$$(m+n)(a-2)+(m-n)(a-2)$$

Evaluate

$2m\left(a-2\right)$

Solution Steps

Apply the distributive property by multiplying each term of $m+n$ by each term of $a-2$.

$$ma-2m+na-2n+\left(m-n\right)\left(a-2\right)$$

Apply the distributive property by multiplying each term of $m-n$ by each term of $a-2$.

$$ma-2m+na-2n+ma-2m-na+2n$$

Combine $ma$ and $ma$ to get $2ma$.

$$2ma-2m+na-2n-2m-na+2n$$

Combine $-2m$ and $-2m$ to get $-4m$.

$$2ma-4m+na-2n-na+2n$$

Combine $na$ and $-na$ to get $0$.

$$2ma-4m-2n+2n$$

Combine $-2n$ and $2n$ to get $0$.

$$2ma-4m$$

Expand

$2am-4m$

Solution Steps

Apply the distributive property by multiplying each term of $m+n$ by each term of $a-2$.

$$ma-2m+na-2n+\left(m-n\right)\left(a-2\right)$$

Apply the distributive property by multiplying each term of $m-n$ by each term of $a-2$.

$$ma-2m+na-2n+ma-2m-na+2n$$

Combine $ma$ and $ma$ to get $2ma$.

$$2ma-2m+na-2n-2m-na+2n$$

Combine $-2m$ and $-2m$ to get $-4m$.

$$2ma-4m+na-2n-na+2n$$

Combine $na$ and $-na$ to get $0$.

$$2ma-4m-2n+2n$$

Combine $-2n$ and $2n$ to get $0$.

$$2ma-4m$$