Solve x(x-7.2)(x-15.6

$$x(x-7.2)(x-15.6$$

Evaluate

$$x\left(x-15.6\right)\left(x-7.2\right)$$

Solution Steps

Use the distributive property to multiply x by x-7.2.

$$\left(x^{2}-7.2x\right)\left(x-15.6\right)$$

Apply the distributive property by multiplying each term of x^{2}-7.2x by each term of x-15.6.

$$x^{3}-15.6x^{2}-7.2x^{2}+112.32x$$

Combine -15.6x^{2} and -7.2x^{2} to get -22.8x^{2}.

$$x^{3}-22.8x^{2}+112.32x$$

Expand

$$x^{3}-\frac{114x^{2}}{5}+\frac{2808x}{25}$$

Solution Steps

Use the distributive property to multiply x by x-7.2.

$$\left(x^{2}-7.2x\right)\left(x-15.6\right)$$

Apply the distributive property by multiplying each term of x^{2}-7.2x by each term of x-15.6.

$$x^{3}-15.6x^{2}-7.2x^{2}+112.32x$$

Combine -15.6x^{2} and -7.2x^{2} to get -22.8x^{2}.

$$x^{3}-22.8x^{2}+112.32x$$