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A state lottery commission analyzes the ticket purchasing patterns of its citizens. The following expression is developed to help officials calculate the likely number of people who will buy tickets for a certain size jackpot.

81a^2-36b^2
Factor the expression completely.

2 Answers

7 votes

9(9a^2-4)

9(3a+2)(3a-2)

I hope this helps!

User Screenpaver
by
8.5k points
6 votes
So,

We first factor out the GCF.


9(9a^2-4b^2)

Now, we notice that the expression is a difference of two perfect squares.

9(3a+2b)(3a-2b)

The expression is now factored completely.
User Nick Desjardins
by
8.0k points

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