Solve (2b+2a)(a-b)1/2

$$( 2 b + 2 a ) ( a - b ) \frac { 1 } { 2 }$$

Evaluate

$$a^{2}-b^{2}$$

Solution Steps

Apply the distributive property by multiplying each term of 2b+2a by each term of a-b.

$$\left(2ba-2b^{2}+2a^{2}-2ab\right)\times \frac{1}{2}$$

Combine 2ba and -2ab to get 0.

$$\left(-2b^{2}+2a^{2}\right)\times \frac{1}{2}$$

Use the distributive property to multiply -2b^{2}+2a^{2} by \frac{1}{2}.

$$-2b^{2}\times \frac{1}{2}+2a^{2}\times \frac{1}{2}$$

Multiply -2 times \frac{1}{2}.

$$-b^{2}+2a^{2}\times \frac{1}{2}$$

Cancel out 2 and 2.

$$-b^{2}+a^{2}$$

Expand

$$a^{2}-b^{2}$$

Solution Steps

Apply the distributive property by multiplying each term of 2b+2a by each term of a-b.

$$\left(2ba-2b^{2}+2a^{2}-2ab\right)\times \frac{1}{2}$$

Combine 2ba and -2ab to get 0.

$$\left(-2b^{2}+2a^{2}\right)\times \frac{1}{2}$$

Use the distributive property to multiply -2b^{2}+2a^{2} by \frac{1}{2}.

$$-2b^{2}\times \frac{1}{2}+2a^{2}\times \frac{1}{2}$$

Multiply -2 times \frac{1}{2}.

$$-b^{2}+2a^{2}\times \frac{1}{2}$$

Cancel out 2 and 2.

$$-b^{2}+a^{2}$$