rachel1234
x^3-x^2y-xy^2+y^3
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cwrw238
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what do you want to do? factor this?
blurbendy
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(x-y)^2(x+y) when simplified.
rachel1234
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yes, but i need to see the steps to understand it
cwrw238
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you need to look for common factors
the first 2 terms
= x^2(x - y)
cwrw238
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and
-xy^2 + y^3 = -y^2(x - y)
cwrw238
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bring these together we get
x^2(x - y) - y^2(x - y)
do you follow this so far?
rachel1234
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yes, thanks
rachel1234
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do you get (x+y)(x-y)(x-y)?
cwrw238
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ok so notive that (x-y) is common so
we have
(x - y) ( x^2 - y^2)
now the second parentheses can be factored further (its difference of 2 squares)
finally its
(x - y)(x - y)(x + y)
or (x - y)^2 (x + y)
cwrw238
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yea you'te right
rachel1234
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can you help me with one more?
cwrw238
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sorry gotta go now
rachel1234
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thanks anyways