Question

without actually cubing find the value of [24]^3+[-14]^3+[-10]^3

Answer 1

Answer:

Let

a = 24 , b = - 14 , c = - 10

Then

a+b+c = 0

We are aware of the identity that if a+b+c = 0 then

a³ + b³ + c³ = 3abc

So

(24)³ + (-14)³ +( - 10)³ = 3×24×(-14)×(-10) = 10080

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Answer 2

Step-by-step explanation:

let a=24,b= -14 and c= -10

we know that,

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

=24^3+(-14)^3+(-10)^3

=3×24×-14×-10

=72×140

=10080

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