Solve (9-2x)(9-2x)*x

$$(9-2x)(9-2x) \times x$$

Evaluate

$$x\left(9-2x\right)^{2}$$

Solution Steps

Multiply 9-2x and 9-2x to get \left(9-2x\right)^{2}.

$$\left(9-2x\right)^{2}x$$

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(9-2x\right)^{2}.

$$\left(81-36x+4x^{2}\right)x$$

Use the distributive property to multiply 81-36x+4x^{2} by x.

$$81x-36x^{2}+4x^{3}$$

Expand

$$4x^{3}-36x^{2}+81x$$

Solution Steps

Multiply 9-2x and 9-2x to get \left(9-2x\right)^{2}.

$$\left(9-2x\right)^{2}x$$

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(9-2x\right)^{2}.

$$\left(81-36x+4x^{2}\right)x$$

Use the distributive property to multiply 81-36x+4x^{2} by x.

$$81x-36x^{2}+4x^{3}$$