# How do you simplify #(b^2+2b-24)/(2b^2-72)# and find any non permissible values?

The expression simplifies to

Factor everything.

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To simplify the expression (b^2+2b-24)/(2b^2-72), we can factor both the numerator and denominator.

The numerator can be factored as (b+6)(b-4), and the denominator can be factored as 2(b+6)(b-6).

Now, we can cancel out the common factors of (b+6) from both the numerator and denominator.

After canceling out the common factors, the simplified expression becomes (b-4)/(2b-12).

To find the non-permissible values, we need to identify the values of b that would make the denominator equal to zero.

Setting the denominator, 2b-12, equal to zero and solving for b, we get b = 6.

Therefore, the non-permissible value for b is 6, as it would result in division by zero.

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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.

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