Solve 25a^2-15ab-4b^2/25a^2-40ab+16b^2

$$\frac { 25 a ^ { 2 } - 15 a b - 4 b ^ { 2 } } { 25 a ^ { 2 } - 40 a b + 16 b ^ { 2 } }$$

Evaluate

$$\frac{5a+b}{5a-4b}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(5a+b\right)\left(5a-4b\right)}{\left(5a-4b\right)^{2}}$$

Cancel out 5a-4b in both numerator and denominator.

$$\frac{5a+b}{5a-4b}$$

Expand

$$-\frac{5a+b}{4b-5a}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(5a+b\right)\left(5a-4b\right)}{\left(5a-4b\right)^{2}}$$

Cancel out 5a-4b in both numerator and denominator.

$$\frac{5a+b}{5a-4b}$$