Question

without actually calculating the cubes find the value of (9)3+(-15)3+(6)3
.
FULL ANSWER TO BE MARKED BRAINLIEST

Answer 1

Answer:

(9)3+(-15)3+(6)3

=> (15 - 9 - 6)³

=> (15 - 15)³

=> 0³

= 0

Step-by-step explanation:

Answer 2

Answer:

-2430 is the required answer.

Step-by-step explanation:

We can use this formula to calculate the answer with actually find the cubes of the given numbers:

$a^{3} + b^{3} + c^{3} - 3abc = (a + b + c)(a^{2} + b^{2} + c^{3})$

$a^{3} + b^{3} + c^{3} = (a + b + c)(a^{2} + b^{2} + c^{3}) + 3abc$

Therefore, we can apply the formula to the given problem:

$9^{3} + (-15)^{3} + 6^{3} = (9 -15 + 6)(9^{2} + (-15)^{2} + 6^{3}) + 3(9)(-15)(6)$

$9^{3} + (-15)^{3} + 6^{3} = (0)(9^{2} + (-15)^{2} + 6^{3}) + 3(9)(-15)(6)$

$9^{3} + (-15)^{3} + 6^{3} = -2430$