Question

Give the equivalent numerator if the denominator is (a + 1)³.

Answer 1

\[\frac{ 3a }{ (a+1)^2 }\]

Answer 2

@Owlcoffee

Answer 3

Well, it's the same as the previous one.
We have to multiply both numerator and denominator by a expression such that it gives us the denominator of a equivalent function whose denominator is (a+1)^3

Answer 4

That is if we have:
\[\frac{ 3a }{ (a+1)^2 }\]
We'll just multiply both the numerator and denominator by (a+1).
It works because it is the same expression and we just miltuply it, because we can look at the (a+1)^2 like:
\[\frac{ 3a }{ (a+1)(a+1) }\]
So, we will multiply both numerator and denominator by (a+1):
\[\frac{ 3a(a+1) }{ (a+1)(a+1)(a+1) }\]
so, simplifying:
\[\frac{ 3a(a+1) }{ (a+1)^3 }\]
so, we do the distributive on the numerator:
\[\frac{ 3a^2+3a }{ (a+1)^3 }\]
And there you have it.

Answer 5

3a(a + 1)
3a(a + 1)²
3a(a + 1)³

Answer 6

So which one is it?

Answer 7

take a look at the second to last expression I wrote in the last response, and the numerator should give you the answer.

Answer 8

#2?

Answer 9

No, try again