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How do you simplify #( -7+7a)/(21a^2-21)#?

Answer 1

Avery Alexander

Factorize #(-7(1-a))/(-21(-a^2+1))# You get #(1(1-a))/(3(1-a^2)# You get #(1-a)/(3(1^2-a^2))# As #1=1^2#

By the law of exponents #a^2-b^2=(a+b)(a-b)# #(1cancel((1-a)))/(3cancel((1-a))(1+a)# You get #1/(3(1+a))#

IF you want to simplify it further it would be #(3+3a)^(-1)#

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Answer 2

Ethan Adkins

To simplify the expression (-7+7a)/(21a^2-21), you can factor out a common factor of 7 from both the numerator and the denominator. This gives us 7(-1+a)/(7(3a^2-3)). Next, we can cancel out the common factor of 7, resulting in (-1+a)/(3a^2-3). Therefore, the simplified form of (-7+7a)/(21a^2-21) is (-1+a)/(3a^2-3).

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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.