Math, asked by Dibyajyotinanda, 6 months ago

simplification of (4.5a+1.5b)²+(4.5b+1.5a)²

Answers

Answered by priyapriyanshi
2

( 4.5 a +1.5 b )² + ( 4.5 b + 1.5 a )² = 0

= ( 4 .5 a ) ² + ( 1.5 b ) ² +2( 4.5a * 1.5 b ) + ( 4.5 b)² + ( 1.5 a )² + 2( 4.5 b * 1.5 a ) = 0

= 20.25 a² + 2.25 b² + 13.5 ab + 20.25 b² + 2.25 a² + 13.5 ba = 0

= 20.25 a² + 20.25 b² + 2.25 b² + 2.25 a² + 13.5 ab + 13.5 ba = 0

= 20.25 ( a² + b² ) + 2.25 ( b² + a² ) + 13.5 ( ab + ba ) = 0

= ( a² + b² ) + ( b² + a² ) + ( ab + ba ) = 0

= 2a² + 2b² = - ( ab + ba )

= a²+ b² = -( ab + ba ) / 2

May be the answer will satisfy you .

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