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CBSE Class 9 Answered

Without actually calculating the cubes, find the value of (-1)^3 + (-2)^3 + (-3)^3 + (-4)^3 + 2(5^3) . Write the identify used
Asked by Marie | 09 Feb, 2018, 04:29: PM
answered-by-expert Expert Answer
begin mathsize 16px style open parentheses negative 1 close parentheses cubed plus open parentheses negative 2 close parentheses cubed plus open parentheses negative 3 close parentheses cubed plus open parentheses negative 4 close parentheses cubed plus 2 open parentheses 5 close parentheses cubed
equals open square brackets open parentheses negative 1 close parentheses cubed plus open parentheses negative 4 close parentheses cubed plus open parentheses 5 close parentheses cubed close square brackets plus open square brackets open parentheses negative 2 close parentheses cubed plus open parentheses negative 3 close parentheses cubed plus open parentheses 5 close parentheses cubed close square brackets
straight a plus straight b plus straight c equals 0
rightwards double arrow straight a cubed plus straight b cubed plus straight c cubed equals 3 abc
rightwards double arrow open parentheses negative 1 close parentheses cubed plus open parentheses negative 2 close parentheses cubed plus open parentheses negative 3 close parentheses cubed plus open parentheses negative 4 close parentheses cubed plus 2 open parentheses 5 close parentheses cubed
equals open square brackets open parentheses negative 1 close parentheses cubed plus open parentheses negative 4 close parentheses cubed plus open parentheses 5 close parentheses cubed close square brackets plus open square brackets open parentheses negative 2 close parentheses cubed plus open parentheses negative 3 close parentheses cubed plus open parentheses 5 close parentheses cubed close square brackets
equals 3 open parentheses negative 1 close parentheses open parentheses negative 4 close parentheses cross times 5 plus 3 open parentheses negative 2 close parentheses open parentheses negative 3 close parentheses cross times 5
equals 60 plus 90
equals 150

end style
Answered by Sneha shidid | 09 Feb, 2018, 04:38: PM
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