Question

The question is in the picture (Alegbra 1)

Answer 1

`(s)/(s-4)`

Explanation:

Given

`(s^2+6s)/(s^2+10s+24)` ÷
`(s-4)/(s+4)` ( factor and simplify fraction on left )

=
`(s(s+6))/((s+4)(s+6))` ÷
`(s-4)/(s+4)` ← cancel (s + 6) on numerator/ denominator

Leave first fraction, change division to multiplication, turn second fraction upside down

=
`(s)/(s+4)` ×
`(s+4)/(s-4)` ← cancel (x + 4) on numerator/ denominator

=
`(s)/(s-4)`