Solve ((x)^(2)+7x)-(-(x)^(2)-3x+2)+8 | 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

$$( { x }^{ 2 } +7x)-(- { x }^{ 2 } -3x+2)+8$$

Evaluate

$2\left(x^{2}+5x+3\right)$

Solution Steps

To find the opposite of $-x^{2}-3x+2$, find the opposite of each term.

$$x^{2}+7x-\left(-x^{2}\right)+3x-2+8$$

Combine $7x$ and $3x$ to get $10x$.

$$x^{2}+10x-\left(-x^{2}\right)-2+8$$

Add $-2$ and $8$ to get $6$.

$$x^{2}+10x-\left(-x^{2}\right)+6$$

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

$$x^{2}+10x+x^{2}+6$$

Combine $x^{2}$ and $x^{2}$ to get $2x^{2}$.

$$2x^{2}+10x+6$$

Expand

$2x^{2}+10x+6$

Solution Steps

To find the opposite of $-x^{2}-3x+2$, find the opposite of each term.

$$x^{2}+7x-\left(-x^{2}\right)+3x-2+8$$

Combine $7x$ and $3x$ to get $10x$.

$$x^{2}+10x-\left(-x^{2}\right)-2+8$$

Add $-2$ and $8$ to get $6$.

$$x^{2}+10x-\left(-x^{2}\right)+6$$

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

$$x^{2}+10x+x^{2}+6$$

Combine $x^{2}$ and $x^{2}$ to get $2x^{2}$.

$$2x^{2}+10x+6$$