Solve 2(3a-b^2-a^2-b/2b-a)

$$2 ( \frac { 3 a - b ^ { 2 } - a ^ { 2 } - b } { 2 b - a } )$$

Evaluate

$$\frac{2\left(-a^{2}+3a-b^{2}-b\right)}{2b-a}$$

Short Solution Steps

Express 2\times \frac{3a-b^{2}-a^{2}-b}{2b-a} as a single fraction.

$$\frac{2\left(3a-b^{2}-a^{2}-b\right)}{2b-a}$$

Use the distributive property to multiply 2 by 3a-b^{2}-a^{2}-b.

$$\frac{6a-2b^{2}-2a^{2}-2b}{2b-a}$$

Expand

$$-\frac{2\left(a^{2}-3a+b^{2}+b\right)}{2b-a}$$

Short Solution Steps

Express 2\times \frac{3a-b^{2}-a^{2}-b}{2b-a} as a single fraction.

$$\frac{2\left(3a-b^{2}-a^{2}-b\right)}{2b-a}$$

Use the distributive property to multiply 2 by 3a-b^{2}-a^{2}-b.

$$\frac{6a-2b^{2}-2a^{2}-2b}{2b-a}$$