Question

without actually calculating tje cubes find the value of -11³+7³+4³

Answer 1

-11 + 7 + 4 = 0

If a + b + c = 0, then a^3 + b^3 + c^3 = 3abc

Using this identity,

(-11)^3 + (7)^3 + (4)^3 = 3 (-11) (7) (4)

= -924

Hope this helps.....

Answer 2

Hey dude!!

Here's the correct answer!!

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${ - 11}^{3} + {7}^{3} + {4}^{3} \\ = ( - 11 \times - 11 \times - 11) + (7 \times 7 \times 7) + (4 \times 4 \times 4) \\ = - 1331 + 343 + 64 \\ = - 1331 + 407 \\ = - 924$

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Hope it helps you dear! :)