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Rom4ik [11]
3 years ago
9

Which expression is a factor of 36x2−9?

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

18x - 9

Step-by-step explanation:

Factor the common factor of 9 first which gives 9(4x^{2} -1)

4x^{2}  - 1 is the difference of two squares and factors into (2x + 1)(2x - 1)

The complete factorization of 36x^{2} -9 is 9(2x + 1)(2x - 1).  

So 9(2x - 1) = 18x - 9 is a factor of the original expression.

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