What is $20^{3}$ - $19^{3}$ ?

2197

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4913

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1141

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1331

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Solution

The correct option is C
1141

The formula will be:
a³– b³ = (a - b)³ + 3ab(a – b)

Since, the difference between a and b is 1, we get:
$20^{3}$ - $19^{3}$ = $(20 - 19)^{3} + 3 \times 20 \times 19 \times 1 (20 - 19) = 1141$

$20^{3}$ - $19^{3}$ = $1^{3} + 3 \times 20 \times 19 \times 1 = 1141$

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