Solve a + 2b + 3b - (4a - (8b)/2) + 5ab - b + a | 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

$$a+2b+3b-(4a-\frac{8b}{2})+5ab-b+a$$

Evaluate

$5ab-2a+8b$

Solution Steps

Combine $2b$ and $3b$ to get $5b$.

$$a+5b-\left(4a-\frac{8b}{2}\right)+5ab-b+a$$

Divide $8b$ by $2$ to get $4b$.

$$a+5b-\left(4a-4b\right)+5ab-b+a$$

To find the opposite of $4a-4b$, find the opposite of each term.

$$a+5b-4a-\left(-4b\right)+5ab-b+a$$

Combine $a$ and $-4a$ to get $-3a$.

$$-3a+5b-\left(-4b\right)+5ab-b+a$$

Combine $5b$ and $-b$ to get $4b$.

$$-3a+4b-\left(-4b\right)+5ab+a$$

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

$$-2a+4b-\left(-4b\right)+5ab$$

Multiply $-1$ and $-1$ to get $1$.

$$-2a+4b+4b+5ab$$

Combine $4b$ and $4b$ to get $8b$.

$$-2a+8b+5ab$$

Expand

$5ab-2a+8b$

Solution Steps

Combine $2b$ and $3b$ to get $5b$.

$$a+5b-\left(4a-\frac{8b}{2}\right)+5ab-b+a$$

Divide $8b$ by $2$ to get $4b$.

$$a+5b-\left(4a-4b\right)+5ab-b+a$$

To find the opposite of $4a-4b$, find the opposite of each term.

$$a+5b-4a-\left(-4b\right)+5ab-b+a$$

Combine $a$ and $-4a$ to get $-3a$.

$$-3a+5b-\left(-4b\right)+5ab-b+a$$

Combine $5b$ and $-b$ to get $4b$.

$$-3a+4b-\left(-4b\right)+5ab+a$$

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

$$-2a+4b-\left(-4b\right)+5ab$$

Multiply $-1$ and $-1$ to get $1$.

$$-2a+4b+4b+5ab$$

Combine $4b$ and $4b$ to get $8b$.

$$-2a+8b+5ab$$