If x2 - y2 = 12xy, then x2/y2 + y2/x2 =
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Step-by-step explanation:
x2 - y2 = 12xy
⇒ x2 = 12xy - y2
⇒ y2 = x2 - 12xy
x2/y2 + y2/x2
= 12xy-y2/y2 + y2/12xy-y2
= y(12x-y)/y2 = y2/y(12x-y)
= 12x-y/y + y/12x-y
= (12x-y)^2 + y2/ y(12x-y)
= (144x2 + y2 - 24xy + y2) / 12xy-y2
= 144x2 + 2y2 - 24xy / 12xy-y2
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