Answer :
a + b =
a + b = =
=
= 3
a-b =
a-b = =
=
= √5
ab = = 1
(a + b)3 = a3 + b3 + 3ab(a + b)
a3 + b3 = (a + b)3 - 3ab(a + b)
= (3)3 – 3 × 1 × 3
= 27 – 9 = 18
(a-b)3 = a3-b3-3ab(a-b)
a3-b3 = (a-b)3 + 3ab(a-b)
= (√5)3 + 3 × 1 × (√5)
= 5√5 + 3√5
= √5 [5 + 3]
= 8√5
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