Solve 4a-b/2a+b*3(2a+b)/4a-b

$$\frac { 4 a - b } { 2 a + b } \times \frac { 3 ( 2 a + b ) } { 4 a - b }$$

Evaluate

$$3$$

Short Solution Steps

Use the distributive property to multiply 3 by 2a+b.

$$\frac{4a-b}{2a+b}\times \frac{6a+3b}{4a-b}$$

Multiply \frac{4a-b}{2a+b} times \frac{6a+3b}{4a-b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(4a-b\right)\left(6a+3b\right)}{\left(2a+b\right)\left(4a-b\right)}$$

Cancel out 4a-b in both numerator and denominator.

$$\frac{6a+3b}{2a+b}$$

Factor the expressions that are not already factored.

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

Cancel out 2a+b in both numerator and denominator.

$$3$$

Factor

$$3$$