Solve ((x)^(2)-8x+1)-(2(x)^(2)+4x-6) | 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

$$( { x }^{ 2 } -8x+1)-(2 { x }^{ 2 } +4x-6)$$

Evaluate

$7-12x-x^{2}$

Solution Steps

To find the opposite of $2x^{2}+4x-6$, find the opposite of each term.

$$x^{2}-8x+1-2x^{2}-4x+6$$

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

$$-x^{2}-8x+1-4x+6$$

Combine $-8x$ and $-4x$ to get $-12x$.

$$-x^{2}-12x+1+6$$

Add $1$ and $6$ to get $7$.

$$-x^{2}-12x+7$$

Expand

$7-12x-x^{2}$

Solution Steps

To find the opposite of $2x^{2}+4x-6$, find the opposite of each term.

$$x^{2}-8x+1-2x^{2}-4x+6$$

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

$$-x^{2}-8x+1-4x+6$$

Combine $-8x$ and $-4x$ to get $-12x$.

$$-x^{2}-12x+1+6$$

Add $1$ and $6$ to get $7$.

$$-x^{2}-12x+7$$