Solve 2x(x-6)^2

$$2x{(x-6)}^{2}$$

Expand

$$2x^{3}-24x^{2}+72x$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

$$2x\left(x^{2}-12x+36\right)$$

Use the distributive property to multiply 2x by x^{2}-12x+36.

$$2x^{3}-24x^{2}+72x$$

Evaluate

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

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

$$2x\left(x^{2}-12x+36\right)$$

Use the distributive property to multiply 2x by x^{2}-12x+36.

$$2x^{3}-24x^{2}+72x$$