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.

$$\left(\left(-x\right)x-7,2\left(-x\right)\right)\left(x-15,6\right)$$

Multiply -7,2 and -1 to get 7,2.

$$\left(\left(-x\right)x+7,2x\right)\left(x-15,6\right)$$

Apply the distributive property by multiplying each term of \left(-x\right)x+7,2x by each term of x-15,6.

$$\left(-x\right)x^{2}-15,6\left(-x\right)x+7,2x^{2}-112,32x$$

Multiply -15,6 and -1 to get 15,6.

$$\left(-x\right)x^{2}+15,6xx+7,2x^{2}-112,32x$$

Multiply x and x to get x^{2}.

$$\left(-x\right)x^{2}+15,6x^{2}+7,2x^{2}-112,32x$$

Combine 15,6x^{2} and 7,2x^{2} to get 22,8x^{2}.

$$\left(-x\right)x^{2}+22,8x^{2}-112,32x$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$-x^{3}+22,8x^{2}-112,32x$$

Expand

$$-\left(x^{3}-\frac{114x^{2}}{5}+\frac{2808x}{25}\right)$$

Solution Steps

Use the distributive property to multiply -x by x-7,2.

$$\left(\left(-x\right)x-7,2\left(-x\right)\right)\left(x-15,6\right)$$

Multiply -7,2 and -1 to get 7,2.

$$\left(\left(-x\right)x+7,2x\right)\left(x-15,6\right)$$

Apply the distributive property by multiplying each term of \left(-x\right)x+7,2x by each term of x-15,6.

$$\left(-x\right)x^{2}-15,6\left(-x\right)x+7,2x^{2}-112,32x$$

Multiply -15,6 and -1 to get 15,6.

$$\left(-x\right)x^{2}+15,6xx+7,2x^{2}-112,32x$$

Multiply x and x to get x^{2}.

$$\left(-x\right)x^{2}+15,6x^{2}+7,2x^{2}-112,32x$$

Combine 15,6x^{2} and 7,2x^{2} to get 22,8x^{2}.

$$\left(-x\right)x^{2}+22,8x^{2}-112,32x$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$-x^{3}+22,8x^{2}-112,32x$$