Question

Simplify as much as possible.
-9/4w^3 + 5/2w^2 =
Can someone help me solve this

Answer 1

The two terms are not like terms, so they can't be combined.

Answer 2

You can factor out a common factor if that what you are being asked to do.

Answer 3

The question says simplify as much as possible.

Answer 4

what do you get when you factor it?

Answer 5

Factor \(\dfrac{1}{2} w^2\) from both terms.

Answer 6

ok thanks so much!! what did you get as your final answer?

Answer 7

did you get this? 9w34+5w22

Answer 8

\(\large \begin{align} \color{black}{\dfrac{-9}{4w^3 }+ \dfrac{5}{2w^2}\hspace{.33em}\\~\\
=\dfrac{-9}{4w^3 }+ \dfrac{5}{2w^2}\hspace{.33em}\\~\\
\normalsize \text{now we have to take least common denominator} \hspace{.33em}\\~\\
=\dfrac{-9}{4w^3 }+ \dfrac{5\times 2w}{2w^2\times 2w}\hspace{.33em}\\~\\
=\dfrac{-9}{4w^3 }+ \dfrac{10w}{4w^{2+1}}\hspace{.33em}\\~\\
=\dfrac{-9}{4w^3 }+ \dfrac{10w}{4w^{3}}\hspace{.33em}\\~\\
=\dfrac{-9+10w}{4w^3 }\hspace{.33em}\\~\\
}\end{align}\)

Answer 9

wolfram check

http://www.wolframalpha.com/input/?i=simplify+-9%2F%284w%5E3%29+%2B+5%2F%282w%5E2%29

Answer 10

Thank you!!

Answer 11

I thought that w^3 and w^2 were being multiplied by numbers.
The way it's written in the original question, w^3 and w^2 are not in the denominators.