Question

using suitable identity to find value

(-6)^3+13^3+(-7)^3​

Answer 1

Answer:

1638

Step-by-step explanation:

Let -6 = a

13 = b

and, -7 = c

Here, a + b + c = -6 + 13 + (-7) = 0

And, we know that if a + b + c = 0 then

a^3 + b^3 + c^3 = 3abc

so, (-6)^3 + (13)^3 + (-7)^3 = 3(-6)(13)(-7) = 1638.

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Answer 2

Answer:

1638(ANSWER)

Step-by-step explanation:

${a}^{3} + {b}^{3} + {c}^{3} = 3abc \\ if \: a + b + c = 0 \\ \\ a = 13 \: \: \: \: b = - 6 \: \: \: \: c = - 7 \\ 13 - 6 - 7 = 13 - 13 = 0 \\ \\ therefore \: {a}^{3} + {b}^{3} + {c}^{3} = 3abc \\ = 3 \times 13 \times ( - 6) \times ( - 7) \\ = 39 \times 42 \\ = 1638(answer)$

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