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Mathematics 7 Online
OpenStudy (anonymous):

Helppp!! me!!

OpenStudy (anonymous):

hi?

OpenStudy (anonymous):

whaddya need help with

OpenStudy (anonymous):

OpenStudy (anonymous):

it says "multiply and simplify" but that is not what it really means it means "factor and cancel" factor the top and bottom, cancel the common factors

OpenStudy (anonymous):

\[\frac{x^2-4}{x^2-1}\times \frac{x+1}{x+2}\] \[=\frac{(x+2)(x-2)(x+1)}{(x+1)(x-1)(x+2}\] cancel the common factors

OpenStudy (anonymous):

for some reason math teachers like to lie there is no multiplication going on here at all nor is there such a thing as 'simplify" it means reduce \[=\frac{(x+2)(x-2)(x+1)}{(x+1)(x-1)(x+2)}=\frac{\cancel{(x+2)}(x-2)\cancel{(x+1)}}{\cancel{(x+1)}(x-1)\cancel{(x+2)}}=\frac{x-2}{x-1}\]

OpenStudy (anonymous):

thank you so much it always confusses me. lol

OpenStudy (anonymous):

yw other one works the same way

OpenStudy (anonymous):

ok..

OpenStudy (anonymous):

in that case the denominator factors as \((x+3)(x+4)\) so everything goes, leaving only \(\frac{1}{x}\)

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