Question

MEDAL. (HELP)
MULTIPLY.
-6a^2b^2[5a^2b^2-6a-6b]

Answer 1

Did you take any attempts? Show me what you started with , please.

Answer 2

i got -30a^2b^4a^2+36ab^2a^2+36b^3a^2 not sure if its right

Answer 3

\(\LARGE\color{blue}{ \bf -6a^2b^2(5a^2b^2-6a-6b) }\) just to get a better vision.

lets start with the first term.

Answer 4

The first term -30a^2b^4a^2 is right, but you didn't completely multiply, because \[a^2a^2=a^{2+2}=a^{4}\]

Answer 5

ok

Answer 6

re-write the first term a little better

Answer 7

not sure how to do it

Answer 8

\[ -30a^2b^4a^2~~~~~is~~same~~as,~~~ -30b^4a^2a^2=-30b^4a^4\]makes sense ?

Answer 9

yes ok

Answer 10

Okay,
so the second term (which also multiplied correctly, but not completely)
\[36ab^2a^2\]
lets work it,
\[36ab^2a^2~~->~~36a^1b^2a^2~~->~~36b^2a^2a^1~~->~~36b^2a^{2+1}~~->~~36b^2a^3\]

good?

Answer 11

yes

Answer 12

\[-30b^4a^4+36b^2a^3+36b^3a^2\]so this is what we got, and we do not need to simplify the last term.