Solve (-2x+200)(x-40-m)

$$( - 2 x + 200 ) ( x - 40 - m )$$

Evaluate

$$2\left(100-x\right)\left(x-m-40\right)$$

Solution Steps

Apply the distributive property by multiplying each term of -2x+200 by each term of x-40-m.

$$-2x^{2}+80x+2xm+200x-8000-200m$$

Combine 80x and 200x to get 280x.

$$-2x^{2}+280x+2xm-8000-200m$$

Expand

$$-2x^{2}+2mx+280x-200m-8000$$

Solution Steps

Apply the distributive property by multiplying each term of -2x+200 by each term of x-40-m.

$$-2x^{2}+80x+2xm+200x-8000-200m$$

Combine 80x and 200x to get 280x.

$$-2x^{2}+280x+2xm-8000-200m$$