Question

if a+b =10 and ab=21 find the value of a^3+b^3

Answer 1

a^3 + b^3
=( a+b)^3-3ab (a+b)
=10^3-3×21×10
=1000-630
=370
The answer is 370

Answer 2

We have,
a+b=10
ab=21
a³+b³=?

We know,
(a+b)³=a³+b³+3ab(a+b)
a³+b³=(a+b)³-3ab(a+b)
a³+b³=(10)³-3(21)(10)
a³+b³=1000-630
a³+b³=370


Hope it helps.
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