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November 08, 2025, 05:09:52 am
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Author Topic: how do you factorise x^4 +x^2 y^2 +y^4 ?  (Read 536 times)  Share 

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soccerboi

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how do you factorise x^4 +x^2 y^2 +y^4 ?
« on: March 18, 2012, 01:25:04 pm »
0
ans is (x^2 -xy +y^2)(x^2 + xy +y^2)
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pi

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Re: how do you factorise x^4 +x^2 y^2 +y^4 ?
« Reply #1 on: March 18, 2012, 01:34:20 pm »
+3
x^4 + (x^2 y^2) + y^4
=x^4 + (x^2)(y^2) + y^4 + (x^2)(y^2) - (x^2)(y^2)
=(x^4 + 2(x^2 y^2) + y^4) - (x^2)(y^2)
=(x^2 + y^2)^2 - (x^2)(y^2)
=(x^2 + y^2 - xy)(x^2 + y^2 + xy)
QED
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soccerboi

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Re: how do you factorise x^4 +x^2 y^2 +y^4 ?
« Reply #2 on: March 18, 2012, 01:41:13 pm »
+1
oh i seee, thank you
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