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How do you simplify #(3x^2) / (4x^2-9)#?

Answer 1

Isaiah Anthony

#(3x^2)/((2x+3)(2x-3))#

Factor the denominator. Recall that #a^2-b^2=(a+b)(a-b)#.

#(3x^2)/(4x^2-9)#

#=(3x^2)/((2x+3)(2x-3))#

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Answer 2

Hazel Anglin

To simplify the expression (3x^2) / (4x^2-9), you can factor the denominator as the difference of squares: (2x+3)(2x-3). Then, cancel out the common factors in the numerator and denominator, which in this case is (x+3)(x-3). The simplified expression is (3x^2) / (2x+3)(2x-3).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.