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How do you simplify #(p^2-49)/(14-2p)#?

Answer 1

Genesis Allen

#=((p + 7)(p - 7))/(-2(-7 + p))#

#=-(p + 7)/2#

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Answer 2

Eva Adamson

To simplify the expression (p^2-49)/(14-2p), we can factor the numerator and denominator. The numerator is a difference of squares, so it can be factored as (p+7)(p-7). The denominator can be factored out a common factor of -2, resulting in -2(p-7).

Now, we can cancel out the common factor of (p-7) in the numerator and denominator, leaving us with (p+7)/-2.

Therefore, the simplified form of (p^2-49)/(14-2p) is (p+7)/-2.

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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.