Evaluate using identities $6^{3} - 9^{3} + 3^{3}$

- 486

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

486

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

- 86

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

None of these

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

Open in App

Solution

The correct option is D $- 486$
We know that $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$

$6^{3} - 9^{3} + 9^{3}$

$= (6 - 9) (6^{2} + 6 \times 9 + 9^{2}) + 3^{3}$

$= - 3 (36 + 54 + 81) + 3^{3}$

$= - 513 + 3^{3}$

$= - 486$

Suggest Corrections

Similar questions

$9^{3} + (- 3)^{3} - 6^{3} = ?$

(a) 432 (b) 270 (c) 486 (d) 540

9^{3} + {(- 3)}^{3} - 6^{3}

(9)^{3}

(3)^{3}

(6)^{3}

16^{3} - 6^{3} - 10^{3}

Question 86 (vi)

Using suitable identities, evaluate the following:

$(995)^{2}$

Join BYJU'S Learning Program