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Mathematics 20 Online
OpenStudy (anonymous):

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

OpenStudy (solomonzelman):

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

OpenStudy (anonymous):

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

OpenStudy (solomonzelman):

\(\LARGE\color{blue}{ \bf -6a^2b^2(5a^2b^2-6a-6b) }\) just to get a better vision. lets start with the first term.

OpenStudy (solomonzelman):

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

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

re-write the first term a little better

OpenStudy (anonymous):

not sure how to do it

OpenStudy (solomonzelman):

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

OpenStudy (anonymous):

yes ok

OpenStudy (solomonzelman):

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?

OpenStudy (anonymous):

yes

OpenStudy (solomonzelman):

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

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