Question

Subtract

x/x^2 - 36 - 6/x^2 - 36

Please don’t guess as I have to get this problem correct in order to pass, thank you!

Answer 1

`\large\boxed{(x)/(x^2-36)-(6)/(x^2-36)=(1)/(x+6)}`

Explanation:

`(x)/(x^2-36)-(6)/(x^2-36)=(x-6)/(x^2-36)=(x-6)/(x^2-6^2)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-6)/((x-6)(x+6))\\\\\text{cancel}\ (x-6)\\\\=(1)/(x+6)`