Solve 2(x ^ 2 + 3x - 1) - (x ^ 2 + 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

$$2(x^{2}+3x-1)-(x^{2}+6)$$

Evaluate

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

Solution Steps

Use the distributive property to multiply $2$ by $x^{2}+3x-1$.

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

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

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

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

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

Subtract $6$ from $-2$ to get $-8$.

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

Expand

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

Solution Steps

Use the distributive property to multiply $2$ by $x^{2}+3x-1$.

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

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

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

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

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

Subtract $6$ from $-2$ to get $-8$.

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