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Which sum is equal to

Which sum is equal to-example-1
User Wjl
by
8.7k points

1 Answer

3 votes

Answer:

Correct choice is A

Explanation:

Note that the denominator
x^2-25=(x-5)(x+5). Then rewrite the numerator
x^2+6x-5 as
x^2+5x+x-5=x(x+5)+(x-5).

Substitute both expression into the initial expression:


(x^2+6x-5)/(x^2-25)=(x(x+5)+(x-5))/((x+5)(x-5))=(x(x+5))/((x+5)(x-5))+((x-5))/((x+5)(x-5))=(x)/(x-5)+(1)/(x+5).



User GFontaniva
by
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