Mathematics: What is the sum? 3/x^2-9 +5/x+3 a) 8/x^2+x-6 b)5x-12/x-3 c)-5x / (x+3)(x-3) d)5x-12 / (x+3)(x-3)

What is the sum? 3/x^2-9 +5/x+3 a) 8/x^2+x-6 b)5x-12/x-3

herchellann302

07.01.2022

- D. $\frac{5x-12}{(x+3)(x-3)}$

Explanation:-

Given expression: $\frac{3}{x^2-9}+\frac{5}{x+3}$

Using identity a^2-b^2=(a+b)(a-b) , we get

$=\frac{3}{(x+3)(x-3)}+\frac{5}{x+3}$

Taking L.C.M. of the denominator, we get

$\frac{3+5(x-3)}{(x+3)(x-3)}=\frac{3+5x-15}{(x+3)(x-3)}$

$=\frac{5x-12}{(x+3)(x-3)}$

$\Rightarrow\frac{3}{x^2-9}+\frac{5}{x+3}=\frac{5x-12}{(x+3)(x-3)}$

Thus, D is the right option.

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YmTia06221220

08.03.2021

Step-by-step explanation:

you take the 2 1's and they have a kid named 2

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