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Without actually calculating the cubes find the value of (-1) 3 ​+(-2) 3 ​+(-3) ​3 ​+(-4) 3 ​+​2(5) 3 ​. Also say the identity used.

Without actually calculating the cubes find the value of (-1)3​+(-2)3​+(-3)​3​+(-4)3​+​2(5)3​. Also say the identity used.

Grade:9

3 Answers

Arun
25763 Points
4 years ago
(-1)^3​+(-2)^3​+(-3)^​3​+(-4)^3​+​2(5)^3
[(-1)^3​+(-4)^3​+​(5)^3​] + [(-2)^3​+(-3)​^3​+(5)^3​]
we know that when a+ b+ c = 0 then a^3 +b^3 +c^3 =  3* a*b*c
3[( –1)( –4)(5)] + 3[( –2)( –3)(5)]
60 + 30
 =150    answer
hope it helps
Arun
25763 Points
4 years ago
sorry it was
60 + 90 = 150 (answer)
i wrote that by mistake.
hope you understand
you can do more question on similair pattern
rasheed
11 Points
3 years ago
we know that a+b+c = 0 then a3+b3+c3 = 3abc
 
(-1)3 + (- 4)3 + (5)3 = 3(-1)(-4)(5)  = 60
(-2)3 + (-3)3 + (5)3   = 3(-2)(-3)(5) = 90
= 60 + 90 = 150

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