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Harrizon [31]
3 years ago
14

When adding integers with the same sign, you add and ___________.

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

B

Step-by-step explanation:

change the sign

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Answer:

\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}

Step-by-step explanation:

Given the expression

\dfrac{y+7}{y^2-y-12}-\dfrac{2}{y^2-9}

First, factor each denominator:

1. y^2-y-12=y^2-4y+3y-12=y(y-4)+3(y-4)=(y-4)(y+3)

2. y^2-9=(y-3)(y+3)

Now the expression is

\dfrac{y+7}{(y-4)(y+3)}-\dfrac{2}{(y-3)(y+3)}

Now, multiply the first numerator by (y-3) and the second by (y-4) and write the result as a fraction with denominator (y-4)(y+3)(y-3):

\dfrac{(y+7)(y-3)-2(y-4)}{(y-4)(y+3)(y-3)}=\dfrac{y^2-3y+7y-21-2y+8}{(y-4)(y+3)(y-3)}=\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}

This fraction cannot be simplified more.

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