Question

PLEEEEEEEAAAAAAASSSSSSSSSSEEEEEEEEEEE help me!!!!!!!!!!

Answer 1

`\boxed{\sf \ \ \ (18)/((x-7)(x+12)(x+30)) \ \ \ }`

Explanation:

hello,

first of all we will study the quadratic expressions

we can write that, (the different answers provide good clues :-) )

`x^2+5x-84=(x-7)(x+12)`

and

`x^2+23x-210=(x-7)(x+30)`

so first of all as we cannot divide by 0 we need to take x different from 7, -12 and -30 and then we can write

`(1)/(x^2+5x-48)-(1)/(x^2+23x-210)=(1)/((x-7)(x+12))-(1)/((x-7)(x+30))\\\\=((x+30) -(x+12))/((x-7)(x+12)(x+30))=(x+30-x-12)/((x-7)(x+12)(x+30))\\\\=(18)/((x-7)(x+12)(x+30))`

hope this helps