Question

Evaluate (104)3
using suitable identity.

Answer 1

Answer:

$(100 + 4) {}^{3} = 100 {}^{3} + 4 {}^{3} \: \\ + (3 \times 100 \times 4)(100 + 4) \: \\ 1000000 + 64 + 1200(100 + 4) \\ 1000064 + 120000 + 4800\\ 1124864$

The answer is 1124864

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Answer 2

Answer:

1124864

Explanation:

${(104)}^{3} \\ = {(100 + 4)}^{3} \\ = {100}^{3} + 3 \times {100}^{2} \times 4 + 3 \times 100 \times {4}^{2} + {4}^{3} \\ = 1000000 + 120000 + 4800 + 64 \\ = 1124864$

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