Question

if (2x+3y)=24 and (2x-3y)=12,find the value of xy.

Answer 1

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Answer 2

(2x+3y)² = 4x²+9y²+12xy
(24)² = 4x²+9y²+12xy
576 - 12xy = 4x²+9y². (equation i)


(2x-3y)² = 4x²+9y²-12xy
(12)² = 576-12xy-12xy. (from equation i)
144 = 576-24xy
24xy = 576-144
24 xy = 432
xy = 432/24 => 18
xy = 18
hope this helps