How do you simplify #(a^2+3a)/(a^2-3a-18)# and what are the ecluded values fot he variables?

Answer 1

#=>a/(a-6)#, #a ne 6#

#=>{a^2+3a}/{a^2-3a-18}#
#=>{acancel{(a+3)}}/{(a-6)cancel{(a+3)}}#
#=>a/(a-6)#

From this, we know:

#=>a-6 ne 0#
#=> a ne 6#
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Answer 2

To simplify (a^2+3a)/(a^2-3a-18), we can factor the numerator and denominator. The numerator can be factored as a(a+3), and the denominator can be factored as (a-6)(a+3). Therefore, the expression simplifies to a/(a-6).

The excluded values for the variable a are the values that make the denominator equal to zero. In this case, a-6=0, so a=6 is an excluded value.

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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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