Solve (6-9(x)^(2)+5x-2)+((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

$$(6-9 { x }^{ 2 } +5x-2)+( { x }^{ 2 } -8x+1)-(2 { x }^{ 2 } +4x-6)$$

Evaluate

$11-7x-10x^{2}$

Solution Steps

Subtract $2$ from $6$ to get $4$.

$$4-9x^{2}+5x+x^{2}-8x+1-\left(2x^{2}+4x-6\right)$$

Combine $-9x^{2}$ and $x^{2}$ to get $-8x^{2}$.

$$4-8x^{2}+5x-8x+1-\left(2x^{2}+4x-6\right)$$

Combine $5x$ and $-8x$ to get $-3x$.

$$4-8x^{2}-3x+1-\left(2x^{2}+4x-6\right)$$

Add $4$ and $1$ to get $5$.

$$5-8x^{2}-3x-\left(2x^{2}+4x-6\right)$$

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

$$5-8x^{2}-3x-2x^{2}-4x+6$$

Combine $-8x^{2}$ and $-2x^{2}$ to get $-10x^{2}$.

$$5-10x^{2}-3x-4x+6$$

Combine $-3x$ and $-4x$ to get $-7x$.

$$5-10x^{2}-7x+6$$

Add $5$ and $6$ to get $11$.

$$11-10x^{2}-7x$$

Expand

$11-7x-10x^{2}$

Solution Steps

Subtract $2$ from $6$ to get $4$.

$$4-9x^{2}+5x+x^{2}-8x+1-\left(2x^{2}+4x-6\right)$$

Combine $-9x^{2}$ and $x^{2}$ to get $-8x^{2}$.

$$4-8x^{2}+5x-8x+1-\left(2x^{2}+4x-6\right)$$

Combine $5x$ and $-8x$ to get $-3x$.

$$4-8x^{2}-3x+1-\left(2x^{2}+4x-6\right)$$

Add $4$ and $1$ to get $5$.

$$5-8x^{2}-3x-\left(2x^{2}+4x-6\right)$$

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

$$5-8x^{2}-3x-2x^{2}-4x+6$$

Combine $-8x^{2}$ and $-2x^{2}$ to get $-10x^{2}$.

$$5-10x^{2}-3x-4x+6$$

Combine $-3x$ and $-4x$ to get $-7x$.

$$5-10x^{2}-7x+6$$

Add $5$ and $6$ to get $11$.

$$11-10x^{2}-7x$$