Asked by Adeola

How can i factor
27a^2 - 75b^2

Answers

Answered by MathMate
It will require extracting a simple common factor of 3 to give:
27a^2 - 75b^2
=3(9a²-25b²)
=3( (3a)² - (5b)²)

Recognizing that the difference of two squares can be factored as:
x²-y²=(x+y)(x-y),
you can proceed to complete the factorization.
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