Question

Which of the following is the simplified form of x+5/x^2-25 times x-5/x^2-10x+25?

a. 1/x^2-25
b. 1/x^2-10x+25
c. 1/x^2+10x+25
d. 1/x^2+25

Thanks!! :)

Answer 1

(x+5)/(x^2-25) = (x+5)/((x+5)(x-5)) = 1/(x-5)


So (x+5)/(x^2-25) = 1/(x-5)

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(x-5)/(x^2-10x+25) = (x-5)/((x-5)(x-5)) = 1/(x-5)


So (x-5)/(x^2-10x+25) = 1/(x-5)


This means that the original expression then turns into


(1/(x-5))*(1/(x-5))


which then multiplies out to


1/((x-5)(x-5))


1/(x^2-10x+25)



So the answer is choice B

Answer 2

Thanks!

Answer 3

you're welcome