Solve () 2a - (b - a) - b - (a - b) 10m2 7m | 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

$$2 a - ( b - a ) - b - ( a - b )$$

Evaluate

$2a-b$

Solution Steps

To find the opposite of $b-a$, find the opposite of each term.

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

The opposite of $-a$ is $a$.

$$2a-b+a-b-\left(a-b\right)$$

Combine $2a$ and $a$ to get $3a$.

$$3a-b-b-\left(a-b\right)$$

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

$$3a-2b-\left(a-b\right)$$

To find the opposite of $a-b$, find the opposite of each term.

$$3a-2b-a-\left(-b\right)$$

The opposite of $-b$ is $b$.

$$3a-2b-a+b$$

Combine $3a$ and $-a$ to get $2a$.

$$2a-2b+b$$

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

$$2a-b$$

Expand

$2a-b$

Solution Steps

To find the opposite of $b-a$, find the opposite of each term.

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

The opposite of $-a$ is $a$.

$$2a-b+a-b-\left(a-b\right)$$

Combine $2a$ and $a$ to get $3a$.

$$3a-b-b-\left(a-b\right)$$

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

$$3a-2b-\left(a-b\right)$$

To find the opposite of $a-b$, find the opposite of each term.

$$3a-2b-a-\left(-b\right)$$

The opposite of $-b$ is $b$.

$$3a-2b-a+b$$

Combine $3a$ and $-a$ to get $2a$.

$$2a-2b+b$$

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

$$2a-b$$