Question

PLEASE HELP ME, I DON'T UNDERSTAND THIS! :( Multiply.

Answer 1

Hey there! I'm happy to help!

First, let's multiply the numerators. We will put q+5 in parentheses so we can multiply it by 4q.

4q(q+5)

We use the distributive property to undo the parentheses.

First, we multiply 4q by q.

4q×q=4q²

And we multiply 4q and 5.

4q×5=20q

So, our numerator right now is 4q²+20q.

Now, for the denominators.

2(q+4)

We do 2 by q.

2×q=2q

And 2×4, which is 8.

So, our denominator is 2q+8.

Right now, our fraction is $\frac{4q^2+20}{2q+8}$, and this is your correct answer. However, we can simplify it a bit more. We can divide the 4 by 2, q² by q, and simplify the 20 and the 8.

4/2=2

q²/q=q

20/8=5/2

Now, our final product is (2q+5)/2

But, mark down your answer as $\frac{4q^2+20}{2q+8}$ because that is technically correct.

Have a wonderful day! :D