How do you simplify #(6a+18)/(9a+27)#?

Answer 1

Se the entire simplification process below:

Factor the denominator and numerator first as follows:

#(6a + 18)/(9a + 27) = (6(a + 3))/(9(a + 3)) = ((3 xx 2)(a + 3))/((3 xx 3)(a + 3))#

Common terms in the denominator and numerator can now be eliminated:

#((color(red)(cancel(color(black)(3))) xx 2)color(blue)(cancel(color(black)((a + 3)))))/((color(red)(cancel(color(black)(3))) xx 3)color(blue)(cancel(color(black)((a + 3))))) = 2/3#
However, because #9a + 27# cannot equal #0# the complete answer is:
#2/3# where #a != -3#
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Answer 2

To simplify the expression (6a+18)/(9a+27), we can start by factoring out the greatest common factor from both the numerator and the denominator. In this case, the greatest common factor is 6. Factoring out 6, we get (6(a+3))/(9(a+3)).

Next, we can simplify further by canceling out the common factor of (a+3) in both the numerator and the denominator. This leaves us with the simplified expression of 6/9, which can be further reduced to 2/3.

Therefore, the simplified form of (6a+18)/(9a+27) is 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.

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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