Advertisements
Advertisements
Question
Use property to evaluate : 93 - 53 - 43
Sum
Advertisements
Solution
Property is if a + b + c = 0 then a3 + b3 + c3 = 3abc
a = 9, b = -5, c = -4
93 - 53 - 43 = 93 + (-5)3 + (-4)3 = 3(9)(-5)(-4) = 540
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Expand.
(k + 4)3
Expand.
(52)3
If a ≠ 0 and `a- 1/a` = 3 ; Find :
`a^3 - 1/a^3`
Find the cube of: `3"a" + (1)/(3"a")`
Find the cube of: `(2"m")/(3"n") + (3"n")/(2"m")`
If `"a" - (1)/"a" = 7`, find `"a"^2 + (1)/"a"^2 , "a"^2 - (1)/"a"^2` and `"a"^3 - (1)/"a"^3`
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a"^3 + (1)/"a"^3`
If `"m"^2 + (1)/"m"^2 = 51`; find the value of `"m"^3 - (1)/"m"^3`
If `x^2 + (1)/x^2 = 18`; find : `x^3 - (1)/x^3`
If a + b + c = 0; then show that a3 + b3 + c3 = 3abc.
