Q.18 If a + b = 10 and a2 + b2 = 58, find the
value of a3 + b3.
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Solution :
(a+b)^2=a^2+b^2+2ab
10^2=58+2ab
ab=100-58/2
Now,
(a+b)^3=a^3+b^3+3ab (a+b)
10^3=a^3+b^3+3ab (a+b)
a^3+b^3=1000-630
a^3+b^3=370 is the required answer.
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