Question

If a + b = 10 and ab = 24, then what is the value of a3 + b3?

A) 280 B) 152 C) 140 D) 72

Answer 1

$Given \: a + b = 10 \: ---(1) \: and \\ab = 24 \: --(2)$

$\red{Value \:of \: a^{3} + b^{3}} \\= (a+b)^{3} - 3ab(a+b) \\= 10^{3} - 3 \times 24 \times 10 \\= 1000 - 720 \\= 280$

Therefore.,

$Option \: \pink { ( A ) } \: is \: correct .$

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