Question

Evaluate (207) whole cube

Answer 1

Hey!

Here is your answer!

$= {(207)}^{3} \\ \\ = {(200 + 7)}^{3} \\ \\ using \\ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ \\ = {(200)}^{3} + {(7)}^{3} + 3 \times 200 \times 7(200 + 7) \\ \\ = 8000000 + 343 + 4200(200 + 7) \\ \\ = 8000000 + 343 + 840000 + 29400 \\ \\ = 8869743$
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