If a+b=10 and a2 + b2=58 then the value of a3+b3 is
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Step-by-step explanation:
a+b=10
cubing both the sides
(A+b)3= A3+b3+3ab(a+b)=1000
A2+b2=58
(a+b)=10
sqauring both the sides
A2+b2+2ab=100
58+2ab=100
2ab=42
ab=21
(A+b)3= A3+b3+3ab(a+b)
A3+b3+3(21)(10)=1000
A3+b3=1000-630
A3+b3=370
answer is 370
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