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nikdorinn [45]
2 years ago
12

Please i really need help on this one please!!!! :( I need an answer ASAP

Mathematics
1 answer:
rewona [7]2 years ago
5 0
We want to multiply \displaystyle{  \frac{r^2+7r+10}{3} by \displaystyle{  \frac{3r-30}{r^2-5r-50}, and simplify.

The first thing we do in this type of problems, is factorize as much as possible, and see what cancels out. 

\displaystyle{ r^2+7r+10 can be factored into (r+2)(r+5) as 2 and 5 are two numbers whose sum is 7, and product is 10.

Similarly \displaystyle{ r^2-5r-50 can be factoredinto (r-10)(r+5) as -10 and 5 are two numbers whose sum is -5, and product is -50.

Last, (3r-30) can be factored as 3(r-10). 

Thus the product is equal to:

\displaystyle{  \frac{(r+2)(r+5)}{3}\cdot \frac{3(r-10)}{(r-10)(r+5)}, 

so canceling all equal terms in the numerator and denominator we are left with 
                                         r+2.


Answer: A) r+2


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