Solve 1/2(4-3a)(2-a)/1-a

$$\frac { 1 } { 2 } \frac { ( 4 - 3 a ) ( 2 - a ) } { 1 - a }$$

Evaluate

$$\frac{\left(2-a\right)\left(4-3a\right)}{2\left(1-a\right)}$$

Short Solution Steps

Apply the distributive property by multiplying each term of 4-3a by each term of 2-a.

$$\frac{1}{2}\times \frac{8-4a-6a+3a^{2}}{1-a}$$

Combine -4a and -6a to get -10a.

$$\frac{1}{2}\times \frac{8-10a+3a^{2}}{1-a}$$

Multiply \frac{1}{2} times \frac{8-10a+3a^{2}}{1-a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8-10a+3a^{2}}{2\left(1-a\right)}$$

Use the distributive property to multiply 2 by 1-a.

$$\frac{8-10a+3a^{2}}{2-2a}$$

Expand

$$\frac{3a^{2}-10a+8}{2\left(1-a\right)}$$

Short Solution Steps

Apply the distributive property by multiplying each term of 4-3a by each term of 2-a.

$$\frac{1}{2}\times \frac{8-4a-6a+3a^{2}}{1-a}$$

Combine -4a and -6a to get -10a.

$$\frac{1}{2}\times \frac{8-10a+3a^{2}}{1-a}$$

Multiply \frac{1}{2} times \frac{8-10a+3a^{2}}{1-a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8-10a+3a^{2}}{2\left(1-a\right)}$$

Use the distributive property to multiply 2 by 1-a.

$$\frac{8-10a+3a^{2}}{2-2a}$$