Question
Evaluate: (104)3 using a suitable identity
✓
Answer
(104)3 = (100 + 4)3
Using identity (x + y)3 = x3 + 3xy(x + y) + y3
We get,
(100 + 4)3 = (100)3 + 3 $\times$ 100 $\times$ 4 (100 + 4) + 43
= 10,00 000 + 1,200 $\times$ 104 + 64
= 10,00,000 + 1,24,800 + 64
= 11,24,864
Using identity (x + y)3 = x3 + 3xy(x + y) + y3
We get,
(100 + 4)3 = (100)3 + 3 $\times$ 100 $\times$ 4 (100 + 4) + 43
= 10,00 000 + 1,200 $\times$ 104 + 64
= 10,00,000 + 1,24,800 + 64
= 11,24,864
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