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```				   given a+b=c+d and a3+b3=c3+d3
prove that a2011+b2011=c2011+d2011
plzz xplain
```

6 years ago

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```										Hello student,Please find the answer to your question belowgiven a+b=c+d and a3+b3=c3+d3So (a+b)(a2-ab+b2)=(c+d)(c2-cd+d2)As a+b=c+d ;(a2-ab+b2)=(c2-cd+d2)So (a+b)2-3ab=(c+d)2-3cdSo ab=cdalso (a+b)2-4ab=(c+d)2-4cdSo (a-b)2=(c-d)2SO a+b=c+d and a-b=c-dSo a=c,b=dSoa2011+b2011=c2011+d2011
```
2 years ago

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