Exams › SSC CGL (Prelims) › General

Given x + y = 7 and xy = 10, evaluate (x^3 + y^3)^2 - 9*x^2*y^2*(x + y)^2.

1. 24011
2. -26411
3. 12255
4. -12251

Correct answer: -26411

Solution

x^3 + y^3 = 7^3 - 3*10*7 = 343 - 210 = 133, so its square is 17689. The second term is 9*100*49 = 44100. Thus 17689 - 44100 = -26411.

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