Mathematics
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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:
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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).
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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
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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|
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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?
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OpenStudy (anonymous):
Factorise denominator like:
\[x^2 - 1 = (x+1)(x-1)\]
OpenStudy (anonymous):
|dw:1342097507808:dw|