Solve 3/a-6text{y}5/a-4

$$\frac { 3 } { a - 6 } \text { y } \frac { 5 } { a - 4 }$$

Evaluate

$$\frac{15y}{\left(a-6\right)\left(a-4\right)}$$

Short Solution Steps

Express \frac{3}{a-6}y as a single fraction.

$$\frac{3y}{a-6}\times \frac{5}{a-4}$$

Multiply \frac{3y}{a-6} times \frac{5}{a-4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3y\times 5}{\left(a-6\right)\left(a-4\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{15y}{\left(a-6\right)\left(a-4\right)}$$

Apply the distributive property by multiplying each term of a-6 by each term of a-4.

$$\frac{15y}{a^{2}-4a-6a+24}$$

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

$$\frac{15y}{a^{2}-10a+24}$$

Differentiate w.r.t. y

$$\frac{15}{\left(a-6\right)\left(a-4\right)}$$