if a + b equal to 10 and a b is equal to 16 then find the value of a cube plus b cube
Answers
Answered by
2
Answer:
The answer is 520
Step-by-step explanation:
(a^3+b^3)
=(a+b)^3-3ab(a+b)
=(10)^3 - 3×16×10
=1000-480
=520.
Answered by
1
a+b=10(given)
sq on both side
(a+b)²=(10)²
a²+b²+2ab=100(ab=16 is given)
a²+b²+2(16)=100
a²+b²+32=100
a²+b²=100-32
a²+b²=68.....................[eq 1]
we,know that
a³+b³=(a+b)(a²+b²-ab)
a³+b³=(10)(68-16)
a³+b³=(10)(52)
a³+b³=520
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