which term should be added to to the algebraic expression 64x square + y square/25 to make it a perfect square.
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let the term be a
64x² + y²/25 + a is a perfect square
as a perfect square should be in the form x²+y²+2xy
therefore,
(8x + y/5)² = 64x² + y²/25 + a
a = 2(8x)(y/5)
a = 16xy/5
therefore the term 16xy/5 should be added to make a perfect square
64x² + y²/25 + a is a perfect square
as a perfect square should be in the form x²+y²+2xy
therefore,
(8x + y/5)² = 64x² + y²/25 + a
a = 2(8x)(y/5)
a = 16xy/5
therefore the term 16xy/5 should be added to make a perfect square
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