Solve (15-2alpha)(10-2alpha)

$$( 15 - 2 \alpha ) ( 10 - 2 \alpha )$$

Evaluate

$$2\left(\alpha -5\right)\left(2\alpha -15\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 15-2\alpha by each term of 10-2\alpha .

$$150-30\alpha -20\alpha +4\alpha ^{2}$$

Combine -30\alpha and -20\alpha to get -50\alpha .

$$150-50\alpha +4\alpha ^{2}$$

Expand

$$4\alpha ^{2}-50\alpha +150$$

Solution Steps

Apply the distributive property by multiplying each term of 15-2\alpha by each term of 10-2\alpha .

$$150-30\alpha -20\alpha +4\alpha ^{2}$$

Combine -30\alpha and -20\alpha to get -50\alpha .

$$150-50\alpha +4\alpha ^{2}$$