If a+b=5 and a b=3, then (a^{3}+b^{3} ) is equal to:

SSC CGL 12 Jun 2019 Shift 2 Paper

Question : 68 of 100

Marks: +1, -0

a+b=5

and

a b=3,

then

\ (a^{3}+b^{3}\ )

is equal to:

Solution:

a^{3}+b^{3}=(a+b)\ (a^{2}+b^{2}-a b\ )

=(5)\ ((a+b)^{2} \- 3 a b\ )

=(5)(25-9)

=80

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