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Mathematics 26 Online
OpenStudy (anonymous):

I think this should be easy? I know I have to simplify like, on each side before solving but the exponent always throw me off D:

OpenStudy (anonymous):

https://media.glynlyon.com/a_matalg02_2011/5/164.gif

Parth (parthkohli):

Y U NO FACTOR?

OpenStudy (anonymous):

-____-

OpenStudy (mimi_x3):

\[\large \frac{x-y}{x^{2}-1} *\frac{x-1}{x^{2}-y^{2}} \]

Parth (parthkohli):

\(x^2 - y^2\) and \(x^2 - 1\) are factor-able(difference of squares).

OpenStudy (mimi_x3):

try and factor the RHS

OpenStudy (anonymous):

Okay on the first numerator and the second denominator can I just do 1 and 2?

Parth (parthkohli):

When you factor, just cancel the diagonal terms.

OpenStudy (anonymous):

Lol I know how to factor, I just don't know what to do when exponents are involved.

OpenStudy (mimi_x3):

Yeah \(x-y\) and \(x^2-y^2\) is alike

OpenStudy (anonymous):

easy question lol

OpenStudy (anonymous):

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

OpenStudy (anonymous):

write denominator as (x-1)(x+1) and (x-y)(x+y)

Parth (parthkohli):

That's what we are trying to tell you. Can you factor?

OpenStudy (anonymous):

Okay so now |dw:1342097440272:dw|

OpenStudy (mimi_x3):

\(x^2-y^2 = (x-y)(x+y)\)

OpenStudy (anonymous):

use the formula a^2 - b^2 = (a+b) (a-b)

OpenStudy (anonymous):

How come 2??

OpenStudy (anonymous):

^That is the part I get stuck on, Mimi. I'm like how the heck...

Parth (parthkohli):

Why do we have that 2?

OpenStudy (anonymous):

Factorise denominator like: \[x^2 - 1 = (x+1)(x-1)\]

OpenStudy (anonymous):

|dw:1342097507808:dw|

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