(ax + by)² + (bx - ay )²
Answers
Answered by
11
Step-by-step explanation:
=(ax)²+(by)²+2(ax)(by)+(bx)²+(ay)²-2(bx)(ay)
=a²x²+b²y²+(2abxy)+b²x²+a²y²-(2abxy)
=x²(a²+b²)+y²(a²+b²)
=(a²+b²) (x²y²)
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Answered by
2
Answer:
(a²+b²)(x²+y²)
Step-by-step explanation:
(ax+by)² + (bx-ay)²
{ Identities to be used:- (a+b)²=a²+b²+2ab
(a-b)²=a²+b²-2ab }
=>(ax+by)²+(bx-ay)²
=>(ax)²+(by)²+2(ax)(by)+(bx)²+(ay)²-2(bx)(ay)
=>a²x²+b²y²+2abxy+b²x²+a²y²-2abxy
{+2abxy & -2abxy cancelled...}
a²x²+a²y²+b²x²+b²y²
a²(x²+y²)+b²(x²+y²)
(a²+b²(x²+y²)...answer solved....
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