please answer its urgent
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I hope this helps you.
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Hello,
x⁴+y⁴+x²y²;
add and subtract x²y²:
=x⁴+y⁴+x²y²+x²y²-x²y²;
=x⁴+2x²y²+y⁴-x²y²;
remembering that a²+2ab+b²=(a-b),you get it:
=(x²+y²)²-(xy)²;
remembering that a²-b²=(a+b)(a-b),you get it:
=[(x²+y²)+xy][(x²+y²)-xy];
=(x²+xy+y²)(x²-xy+y²)
bye :-)
x⁴+y⁴+x²y²;
add and subtract x²y²:
=x⁴+y⁴+x²y²+x²y²-x²y²;
=x⁴+2x²y²+y⁴-x²y²;
remembering that a²+2ab+b²=(a-b),you get it:
=(x²+y²)²-(xy)²;
remembering that a²-b²=(a+b)(a-b),you get it:
=[(x²+y²)+xy][(x²+y²)-xy];
=(x²+xy+y²)(x²-xy+y²)
bye :-)
kvnmurty:
very well done
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