Question

Select the correct answer which expression is equivalent to the product 2x+14/x^2-25 • 8x+40/6x+42

Answer 1

A) 8/ 3(x-5)

Explanation:

1) 2x+14/x^2-25 • 8x+40/6x+42=2(x+7)/ (x-5)(x+5) * 8(x+5)/ 6(x+7)

2)

after expressing every part of every fraction as product you should reduce the fraction. You can get rid of common divisor (x+5) in the denominator of the first fraction and the numerator of the second one and the common divisor (x+7) for the numerator of the first fraction and denominatorof the second one.

Then you'll get 2*8/ 6(x+5) reduce it again, 2 and 6 have the common divisor 2

Then 8/3(x-5) is the correct answer