How do you simplify #(7x+14)/(7x^2-7x-42)#?
Take 7 out of the denominator and numerator:
Cancel:
Denominator of a factor:
Cancel:
It is also possible to get this result by factoring the denominator initially, although this is a little trickier to do than factoring in stages:
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To simplify the expression (7x+14)/(7x^2-7x-42), we can first factor the numerator and denominator. The numerator can be factored as 7(x+2), while the denominator can be factored as 7(x-6)(x+1).
Next, we can cancel out the common factors of 7, resulting in (x+2)/(x-6)(x+1).
Therefore, the simplified form of (7x+14)/(7x^2-7x-42) is (x+2)/(x-6)(x+1).
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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.
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.
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.
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.
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