Solve B(x)=(-6x-1)(x+2)-(7x-2) | 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

$$B(x)=(-6x-1)(x+2)-(7x-2)$$

Evaluate

$-2x\left(3x+10\right)$

Solution Steps

Apply the distributive property by multiplying each term of $-6x-1$ by each term of $x+2$.

$$-6x^{2}-12x-x-2-\left(7x-2\right)$$

Combine $-12x$ and $-x$ to get $-13x$.

$$-6x^{2}-13x-2-\left(7x-2\right)$$

To find the opposite of $7x-2$, find the opposite of each term.

$$-6x^{2}-13x-2-7x-\left(-2\right)$$

The opposite of $-2$ is $2$.

$$-6x^{2}-13x-2-7x+2$$

Combine $-13x$ and $-7x$ to get $-20x$.

$$-6x^{2}-20x-2+2$$

Add $-2$ and $2$ to get $0$.

$$-6x^{2}-20x$$

Expand

$-6x^{2}-20x$

Solution Steps

Apply the distributive property by multiplying each term of $-6x-1$ by each term of $x+2$.

$$-6x^{2}-12x-x-2-\left(7x-2\right)$$

Combine $-12x$ and $-x$ to get $-13x$.

$$-6x^{2}-13x-2-\left(7x-2\right)$$

To find the opposite of $7x-2$, find the opposite of each term.

$$-6x^{2}-13x-2-7x-\left(-2\right)$$

The opposite of $-2$ is $2$.

$$-6x^{2}-13x-2-7x+2$$

Combine $-13x$ and $-7x$ to get $-20x$.

$$-6x^{2}-20x-2+2$$

Add $-2$ and $2$ to get $0$.

$$-6x^{2}-20x$$