Question

if a+b=10 and ab=16 find the value of a^3+b^3

Answer 1

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Answer 2

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We know that

(a+b)³ = a³+b³+3ab(a+b)

a³+b³ = (a+b)³ - 3ab(a+b)

Given that a+b = 10 and ab = 16

Substitibe a+b = 10 and ab = 16 in a³+b³ = (a+b)³ - 3ab(a+b)

a³+b³ = (a+b)³ - 3ab(a+b)

a³+b³ = (10)³ - 3 x 16(10)

a³+b³ = 1000 - 48(10)

a³+b³ = 1000 - 480

a³+b³ = 520
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