\frac{ {y}^(2) }{y + 8} - (64)/(y + 8) how do you solve this​

Question

`\frac{ {y}^(2) }{y + 8} - (64)/(y + 8)`
how do you solve this​

Answer 1

y - 8

Explanation:

Since the fractions have a common denominator, subtract the numerators leaving the common denominator, that is

`(y^2-64)/(y+8)` ← factor the numerator as a difference of squares

=
`((y-8)(y+8))/(y+8)` ← cancel the common factor (y + 8), leaving

= y - 8