Question

How do you subtract `\frac { 5y + 3} { y ^ { 2} - 64} - \frac { 4y + 5} { y ^ { 2} - 64}`?

Answer 1

`(y-2)/(y^2-64)`

Explanation:

Since the fractions have a `color(blue)"common denominator"` then we can subtract the terms on the numerator, leaving the denominator as it is.

`rArr((5y+3)-1(4y+5))/(y^2-64)`

`=(5y+3-4y-5)/(y^2-64)`

`=(y-2)/(y^2-64)`