Solve (1)3a^2b/6abquad(2)2a(a-1)/8ab^2(1-a)

$$( 1 ) \frac { 3 a ^ { 2 } b } { 6 a b } \quad ( 2 ) \frac { 2 a ( a - 1 ) } { 8 a b ^ { 2 } ( 1 - a ) }$$

Evaluate

$$-\frac{a}{4b^{2}}$$

Solution Steps

Cancel out 3ab in both numerator and denominator.

$$1\times \frac{a}{2}\times 2\times \frac{2a\left(a-1\right)}{8ab^{2}\left(1-a\right)}$$

Multiply 1 and 2 to get 2.

$$2\times \frac{a}{2}\times \frac{2a\left(a-1\right)}{8ab^{2}\left(1-a\right)}$$

Extract the negative sign in a-1.

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

Cancel out 2a\left(-a+1\right) in both numerator and denominator.

$$2\times \frac{a}{2}\times \frac{-1}{4b^{2}}$$

Cancel out 2 and 2.

$$a\times \frac{-1}{4b^{2}}$$

Express a\times \frac{-1}{4b^{2}} as a single fraction.

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

Cancel out -1 in both numerator and denominator.

$$\frac{a}{-4b^{2}}$$

Expand

$$-\frac{a}{4b^{2}}$$

Solution Steps

Cancel out 3ab in both numerator and denominator.

$$1\times \frac{a}{2}\times 2\times \frac{2a\left(a-1\right)}{8ab^{2}\left(1-a\right)}$$

Multiply 1 and 2 to get 2.

$$2\times \frac{a}{2}\times \frac{2a\left(a-1\right)}{8ab^{2}\left(1-a\right)}$$

Extract the negative sign in a-1.

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

Cancel out 2a\left(-a+1\right) in both numerator and denominator.

$$2\times \frac{a}{2}\times \frac{-1}{4b^{2}}$$

Cancel out 2 and 2.

$$a\times \frac{-1}{4b^{2}}$$

Express a\times \frac{-1}{4b^{2}} as a single fraction.

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

Cancel out -1 in both numerator and denominator.

$$\frac{a}{-4b^{2}}$$