Mathematics: PLEEEEEEEAAAAAAASSSSSSSSSSEEEEEEEEEEE help me

PLEEEEEEEAAAAAAASSSSSSSSSSEEEEEEEEEEE help me

Ответ:

adamgala3885

30.01.2022

Mathematics

$\boxed{\sf \ \ \ \dfrac{18}{(x-7)(x+12)(x+30)} \ \ \ }$

Step-by-step 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

$\dfrac{1}{x^2+5x-48}-\dfrac{1}{x^2+23x-210}=\dfrac{1}{(x-7)(x+12)}-\dfrac{1}{(x-7)(x+30)}\\\\=\dfrac{(x+30) -(x+12)}{(x-7)(x+12)(x+30)}=\dfrac{x+30-x-12}{(x-7)(x+12)(x+30)}\\\\=\dfrac{18}{(x-7)(x+12)(x+30)}$

hope this helps

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PLEEEEEEEAAAAAAASSSSSSSSSSEEEEEEEEEEE help me

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