Multiple Choice Questions

If x y 9 and xy 2 find the value of x sup3 y sup3 ........

Quantitative Aptitude (CHSL) Algebra

If x-y =9 and xy =2, find the value of x³-y³.

220

160

783

none of these

X-y=9
xy=2
(x-y)³ = x³ - y³ - 3xy (x-y)
⇒ 9³ = (x³ - y³) - 3×2(9)
⇒ 729 = (x³ - y³) - 54
⇒ 729+54 = x³ - y³
⇒x³ - y³ = 783

Hence, option 3 is the correct answer.

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