Mathematics: How do i write this as a single rational expression? [tex] rac{1}{p-2} - rac{1}{p+2} [/tex]

How do i write this as a single rational expression?

Ответ:

lizsd2004

12.03.2022

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{1}{p-2}-\cfrac{1}{p+2}\impliedby \textit{so let's use the }\stackrel{LCD}{(p-2)(p+2)}
\\\\\\
\cfrac{(p+2)~~-~~(p-2)}{(p-2)(p+2)}\implies \cfrac{\underline{p}+2~~\underline{-p}+2}{(p-2)(p+2)}\implies \cfrac{4}{p^2-2^2}\implies \cfrac{4}{p^2-4}$

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Ответ:

fffcc8759

20.03.2020

Mathematics

ONE...

total of three angles that add up to 180

if you had a second, that would be 180 none left for the third angle

Step-by-step explanation:

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How do i write this as a single rational expression? $\frac{1}{p-2} - \frac{1}{p+2}$

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