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

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

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Algebra> polynomials...

given a+b=c+d and a³+b³=c³+d³

prove that a²⁰¹¹+b²⁰¹¹=c²⁰¹¹+d²⁰¹¹

plzz xplain

ajinkya bhole , 14 Years ago

Grade 10

1 Answers

SHAIK AASIF AHAMED

Last Activity: 10 Years ago

Hello student,
Please find the answer to your question below
given a+b=c+d and a³+b³=c³+d³
So (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)²-3cd
So ab=cd
also (a+b)²-4ab=(c+d)²-4cd
So (a-b)²=(c-d)²
SO a+b=c+d and a-b=c-d
So a=c,b=d
Soa²⁰¹¹+b²⁰¹¹=c²⁰¹¹+d²⁰¹¹