Solve x(30-2x)(60-2x)

$$x(30-2x)(60-2x)$$

Evaluate

$$4x\left(15-x\right)\left(30-x\right)$$

Solution Steps

Use the distributive property to multiply x by 30-2x.

$$\left(30x-2x^{2}\right)\left(60-2x\right)$$

Apply the distributive property by multiplying each term of 30x-2x^{2} by each term of 60-2x.

$$1800x-60x^{2}-120x^{2}+4x^{3}$$

Combine -60x^{2} and -120x^{2} to get -180x^{2}.

$$1800x-180x^{2}+4x^{3}$$

Expand

$$4x^{3}-180x^{2}+1800x$$

Solution Steps

Use the distributive property to multiply x by 30-2x.

$$\left(30x-2x^{2}\right)\left(60-2x\right)$$

Apply the distributive property by multiplying each term of 30x-2x^{2} by each term of 60-2x.

$$1800x-60x^{2}-120x^{2}+4x^{3}$$

Combine -60x^{2} and -120x^{2} to get -180x^{2}.

$$1800x-180x^{2}+4x^{3}$$