Solve 8x-20xy+10y+4-(4x-12xy+8y-3) | 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

$$8x-20xy+10y+4-(4x-12xy+8y-3)$$

Evaluate

$7+2y+4x-8xy$

Solution Steps

To find the opposite of $4x-12xy+8y-3$, find the opposite of each term.

$$8x-20xy+10y+4-4x-\left(-12xy\right)-8y-\left(-3\right)$$

The opposite of $-12xy$ is $12xy$.

$$8x-20xy+10y+4-4x+12xy-8y-\left(-3\right)$$

The opposite of $-3$ is $3$.

$$8x-20xy+10y+4-4x+12xy-8y+3$$

Combine $8x$ and $-4x$ to get $4x$.

$$4x-20xy+10y+4+12xy-8y+3$$

Combine $-20xy$ and $12xy$ to get $-8xy$.

$$4x-8xy+10y+4-8y+3$$

Combine $10y$ and $-8y$ to get $2y$.

$$4x-8xy+2y+4+3$$

Add $4$ and $3$ to get $7$.

$$4x-8xy+2y+7$$

Expand

$7+2y+4x-8xy$

Solution Steps

To find the opposite of $4x-12xy+8y-3$, find the opposite of each term.

$$8x-20xy+10y+4-4x-\left(-12xy\right)-8y-\left(-3\right)$$

The opposite of $-12xy$ is $12xy$.

$$8x-20xy+10y+4-4x+12xy-8y-\left(-3\right)$$

The opposite of $-3$ is $3$.

$$8x-20xy+10y+4-4x+12xy-8y+3$$

Combine $8x$ and $-4x$ to get $4x$.

$$4x-20xy+10y+4+12xy-8y+3$$

Combine $-20xy$ and $12xy$ to get $-8xy$.

$$4x-8xy+10y+4-8y+3$$

Combine $10y$ and $-8y$ to get $2y$.

$$4x-8xy+2y+4+3$$

Add $4$ and $3$ to get $7$.

$$4x-8xy+2y+7$$