Math, asked by santoshpal1824, 9 months ago

(ax + by)² + (bx - ay )²​

Answers

Answered by shambhavi1634
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)

I hope it will help you and follow me!!!!!!!!!!

Answered by anushkaverma24
2

Answer:

(a²+b²)(x²+y²)

Step-by-step explanation:

(ax+by)² + (bx-ay)²

{ Identities to be used:- (a+b)²=++2ab

(a-b)²=+-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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