if a+b =11anda^2 + b ^2 = 61 find the value of a^3 + b^3
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Answer:
Answer is 341
Explanation:
(a + b)^2 = a^2 + b^2 + 2ab
121 = 61 + 2ab
ab = 30
a^3 + b^3 = (a + b)*(a^2 + b^2 - ab)
= 11 * (61 - 30)
= 11 * 31
= 341
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