# How do you simplify #(19x^2 + 11x + 15) - (-5x^2 - 6x - 6)#?

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To simplify ( (19x^2 + 11x + 15) - (-5x^2 - 6x - 6) ), you need to distribute the negative sign across the second set of parentheses. This results in ( 19x^2 + 11x + 15 + 5x^2 + 6x + 6 ). Then, you combine like terms by adding or subtracting coefficients of terms with the same variable and exponent. In this case, ( 19x^2 + 5x^2 = 24x^2 ), ( 11x + 6x = 17x ), and ( 15 + 6 = 21 ). So, the simplified expression is ( 24x^2 + 17x + 21 ).

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To simplify (19x^2 + 11x + 15) - (-5x^2 - 6x - 6), first distribute the negative sign inside the parentheses:

(19x^2 + 11x + 15) - (-5x^2 - 6x - 6) = 19x^2 + 11x + 15 + 5x^2 + 6x + 6

Then, combine like terms:

(19x^2 + 5x^2) + (11x + 6x) + (15 + 6) = 24x^2 + 17x + 21

So, the simplified expression is 24x^2 + 17x + 21.

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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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