MCQ
The value of $(101)^3$is:
- A$10303001$
- B$10030301$
- ✓$1030301$
- D$10300301$
✓
Answer
Correct option: C.
$1030301$
$(101)^3 = (100 + 1)^3$
$= (100)^3 + 3 x (100)^2 x 1 + 3 x 100 x (1)^2+ (1)^3 ...........$ {formula $: a^3+ 3a^2b + 3ab^2 + b^3$}
$= 1000000 + 3 x 10000 x 1 + 300 x 1 + 1$
$= 1000000 + 30000 + 300 + 1$
$= 1030301$
$= (100)^3 + 3 x (100)^2 x 1 + 3 x 100 x (1)^2+ (1)^3 ...........$ {formula $: a^3+ 3a^2b + 3ab^2 + b^3$}
$= 1000000 + 3 x 10000 x 1 + 300 x 1 + 1$
$= 1000000 + 30000 + 300 + 1$
$= 1030301$
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