Question

If a-b=2, a^2+b^2=74, then find a^3+b^3=?
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Answer 1

Answer:

1. a-b=2 then (a-b)^2=4

a^2+b^2-2ab=4

2ab=74-4=70

2.(a+b)^2=a^2+b^2+2ab

=74+70

=144

a+b= 12

3.a^3+b^3=(a+b)(a^2+b^2-ab)

=12×(74-35)

=12×39

=468