Which of the binomials below is a factor of this expression?121A2 - 64B2A.11A + 8BB.121A + 8BC.11A + 32BD.121A + 32BSUBMITarrow_backPREVIOUS
Question
Which of the binomials below is a factor of this expression?
121A² - 64B²
A. 11A + 8B
B. 121A + 8B
C. 11A + 32B
D. 121A + 32B
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Solution
The expression 121A^2 - 64B^2 is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).
Let's factor the expression:
121A^2 - 64B^2 = (11A)^2 - (8B)^2 = (11A - 8B)(11A + 8B)
So, the binomial 11A + 8B is a factor of the expression 121A^2 - 64B^2. Therefore, the answer is A. 11A + 8B.
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