which term should be added to 25xsquare +49ysquare so that the sum will be a perfect square(choose two correct alternative) 1) 35xy 2)-70xy 3)70xy 4)-35xy
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Solution :
25x² + 49y²
= (5x)² + (7y)²
i ) ( 5x )² + (7y)² + 2*5x*7y
= (5x)² + (7y)²+70xy
= ( 5x + 7y )² ---( 1 )
ii ) ( 5x )² + (7y)² - 2*5x*7y
= (5x)² + (7y)²-70xy
= ( 5x - 7y )² ---( 2 )
Option ( 2 ) and ( 3 ) are
correct.
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