If a + b = 3, then the value of a3 + b3 + 9ab is - Zigya

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If a + b = 3, then the value of a³ + b³ + 9ab is

27

9

16

16

A.

27

a + b = 3
On cubing both sides,
(a + b)³ = (3)³
a³ + b³ + 3ab(a + b) = 27
a³ + b³ + 3ab x 3 = 27
∴ a³ + b³ + 9ab = 7

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