Solve xleft(x^2-25right)(x-3x-4)

$$x \left( { x }^{ 2 } -25 \right) (x-3x-4)$$

Evaluate

$$-2x\left(x+2\right)\left(x^{2}-25\right)$$

Solution Steps

Combine x and -3x to get -2x.

$$x\left(x^{2}-25\right)\left(-2x-4\right)$$

Use the distributive property to multiply x by x^{2}-25.

$$\left(x^{3}-25x\right)\left(-2x-4\right)$$

Use the distributive property to multiply x^{3}-25x by -2x-4.

$$-2x^{4}-4x^{3}+50x^{2}+100x$$

Expand

$$100x+50x^{2}-4x^{3}-2x^{4}$$

Solution Steps

Combine x and -3x to get -2x.

$$x\left(x^{2}-25\right)\left(-2x-4\right)$$

Use the distributive property to multiply x by x^{2}-25.

$$\left(x^{3}-25x\right)\left(-2x-4\right)$$

Use the distributive property to multiply x^{3}-25x by -2x-4.

$$-2x^{4}-4x^{3}+50x^{2}+100x$$