Solve -xleft(x-7*2right)left(x-15*6right)

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

Evaluate

$$-x\left(x-90\right)\left(x-14\right)$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\left(-x\right)\left(x-14\right)\left(x-15\times 6\right)$$

Multiply 15 and 6 to get 90.

$$\left(-x\right)\left(x-14\right)\left(x-90\right)$$

Use the distributive property to multiply -x by x-14.

$$\left(\left(-x\right)x-14\left(-x\right)\right)\left(x-90\right)$$

Multiply -14 and -1 to get 14.

$$\left(\left(-x\right)x+14x\right)\left(x-90\right)$$

Apply the distributive property by multiplying each term of \left(-x\right)x+14x by each term of x-90.

$$\left(-x\right)x^{2}-90\left(-x\right)x+14x^{2}-1260x$$

Multiply -90 and -1 to get 90.

$$\left(-x\right)x^{2}+90xx+14x^{2}-1260x$$

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

$$\left(-x\right)x^{2}+90x^{2}+14x^{2}-1260x$$

Combine 90x^{2} and 14x^{2} to get 104x^{2}.

$$\left(-x\right)x^{2}+104x^{2}-1260x$$

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

$$-x^{3}+104x^{2}-1260x$$

Expand

$$-\left(x^{3}-104x^{2}+1260x\right)$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\left(-x\right)\left(x-14\right)\left(x-15\times 6\right)$$

Multiply 15 and 6 to get 90.

$$\left(-x\right)\left(x-14\right)\left(x-90\right)$$

Use the distributive property to multiply -x by x-14.

$$\left(\left(-x\right)x-14\left(-x\right)\right)\left(x-90\right)$$

Multiply -14 and -1 to get 14.

$$\left(\left(-x\right)x+14x\right)\left(x-90\right)$$

Apply the distributive property by multiplying each term of \left(-x\right)x+14x by each term of x-90.

$$\left(-x\right)x^{2}-90\left(-x\right)x+14x^{2}-1260x$$

Multiply -90 and -1 to get 90.

$$\left(-x\right)x^{2}+90xx+14x^{2}-1260x$$

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

$$\left(-x\right)x^{2}+90x^{2}+14x^{2}-1260x$$

Combine 90x^{2} and 14x^{2} to get 104x^{2}.

$$\left(-x\right)x^{2}+104x^{2}-1260x$$

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

$$-x^{3}+104x^{2}-1260x$$