Which of the binomials below is a factor of this expression?64A2 - 81B2A.32A + BB.32A + 9BC.8A + 9BD.8A + B
Question
Which of the binomials below is a factor of this expression?64A2 - 81B2A.32A + BB.32A + 9BC.8A + 9BD.8A + B
Solution
The expression 64A^2 - 81B^2 is a difference of squares, which can be factored as follows:
64A^2 - 81B^2 = (8A)^2 - (9B)^2 = (8A - 9B)(8A + 9B)
So, the binomials that are factors of the given expression are 8A - 9B and 8A + 9B.
Therefore, the correct answer is D. 8A + 9B.
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