please simplify it immediately
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santhosh7014:
enna standard
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Solution :
[ 3x/4 - 4y/3 ]² + 2xy
****************†***********************
We know the algebraic identity:
( a - b )² = a² - 2ab + b²
****************************************
= (3x/4)²- 2×(3x/4)(4y/3) + (4y/3)²+2xy
= 9x²/16 - 2xy + 16y²/9 + 2xy
= 9x²/16 + 16y²/9
•••••
[ 3x/4 - 4y/3 ]² + 2xy
****************†***********************
We know the algebraic identity:
( a - b )² = a² - 2ab + b²
****************************************
= (3x/4)²- 2×(3x/4)(4y/3) + (4y/3)²+2xy
= 9x²/16 - 2xy + 16y²/9 + 2xy
= 9x²/16 + 16y²/9
•••••
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