You visited us 1 times! Enjoying our articles? Unlock Full Access!

Cube Numbers

What is 203 -...

Question

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

2197

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4913

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1141

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1331

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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

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

Suggest Corrections

Similar questions

\frac{- 4}{3} .

\frac{- 11}{3}

\frac{11}{3}

\frac{- 19}{3}

\frac{19}{3}

(16^{3} + 17^{3} + 18^{3} + 19^{3})

10^{3} + 27^{3} = 19^{3} +__^{3}

What is the significant figure of ?:

1. 100

2. 20

3. 0.100

4. 0.200

148 = 2 (2 x + x) n

(3 n) 2 x

- 193

Join BYJU'S Learning Program