Question

Simplify the expression
\[\frac{7}{x+2}-\frac{3x}{(x+2)^2}-\frac{5}{x}\]

Answer 1

first take lcm of denominators

Answer 2

\[\frac{7x(x + 2) - 3x.x - 5(x+2)^2}{x(x+2)^2}\]

Solve it now??

Answer 3

Use this also in solving:

\[(a + b)^2 = a^2 + b^2 + 2ab\]

Answer 4

I got the same thing so far @waterineyes

Answer 5

But the book has \[\frac{5x^2-6x-20}{x(x+2)^2}\] and I got \[\frac{-x^2-6x-20}{x(x+2)^2}\]

Answer 6

Can you scan and attach the book page where this question is??

Answer 7

The book has a mistake there will come + instead of - in front of second term..

Answer 8

I see what I did... it's suppose to be:

\[\frac{7}{x+2}+\frac{3x}{(x+2)^2}-\frac{5}{x}\]

Answer 9

Yes this will lead to your answer...

Answer 10

Welcome dear..

Answer 11

Haha, yeah. Thanks @waterineyes!!! and @problemsolver!!!