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How do you simplify #(4x+6)/((x+6)(x-5))#?

Answer 1

#(4x+6)/((x+6)(x-5)) = (4x+6)/(x^2+x-30)#

Unfortunately, the only thing we can do is multiply the denominator's factors since the numerator and denominator do not share any common factors.

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Answer 2

Jace Anderson

To simplify the expression (4x+6)/((x+6)(x-5)), you can start by factoring the numerator and the denominator. The numerator, 4x+6, can be simplified to 2(2x+3). The denominator, (x+6)(x-5), remains the same.

Next, you can cancel out any common factors between the numerator and the denominator. In this case, there are no common factors to cancel out.

Therefore, the simplified form of (4x+6)/((x+6)(x-5)) is 2(2x+3)/((x+6)(x-5)).

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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.