Solve - 5x(2x ^ 2 + 4) - x(6x - 4x ^ 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

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

Evaluate

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

Solution Steps

Use the distributive property to multiply $-5x$ by $2x^{2}+4$.

$$-10x^{3}-20x-x\left(6x-4x^{2}\right)$$

Use the distributive property to multiply $x$ by $6x-4x^{2}$.

$$-10x^{3}-20x-\left(6x^{2}-4x^{3}\right)$$

To find the opposite of $6x^{2}-4x^{3}$, find the opposite of each term.

$$-10x^{3}-20x-6x^{2}+4x^{3}$$

Combine $-10x^{3}$ and $4x^{3}$ to get $-6x^{3}$.

$$-6x^{3}-20x-6x^{2}$$

Expand

$-6x^{3}-6x^{2}-20x$

Solution Steps

Use the distributive property to multiply $-5x$ by $2x^{2}+4$.

$$-10x^{3}-20x-x\left(6x-4x^{2}\right)$$

Use the distributive property to multiply $x$ by $6x-4x^{2}$.

$$-10x^{3}-20x-\left(6x^{2}-4x^{3}\right)$$

To find the opposite of $6x^{2}-4x^{3}$, find the opposite of each term.

$$-10x^{3}-20x-6x^{2}+4x^{3}$$

Combine $-10x^{3}$ and $4x^{3}$ to get $-6x^{3}$.

$$-6x^{3}-20x-6x^{2}$$