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

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

Evaluate

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

Solution Steps

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

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

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

$$4-9x^{2}+5x-2x^{2}-4x+6$$

Combine $-9x^{2}$ and $-2x^{2}$ to get $-11x^{2}$.

$$4-11x^{2}+5x-4x+6$$

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

$$4-11x^{2}+x+6$$

Add $4$ and $6$ to get $10$.

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

Expand

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

Solution Steps

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

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

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

$$4-9x^{2}+5x-2x^{2}-4x+6$$

Combine $-9x^{2}$ and $-2x^{2}$ to get $-11x^{2}$.

$$4-11x^{2}+5x-4x+6$$

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

$$4-11x^{2}+x+6$$

Add $4$ and $6$ to get $10$.

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