Advertisements
Advertisements
Question
Use property to evaluate : 73 + 33 + (-10)3
Sum
Advertisements
Solution
Property is if a + b + c = 0 then a3 + b3 + c3 = 3abc
a = 7, b = 3, c = -10
73 + 33 + (-10)3 = 3(7)(3)(-10) = -630
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
If a + 2b = 5; then show that : a3 + 8b3 + 30ab = 125.
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^3 - 1/a^3 )`
If X ≠ 0 and X + `1/"X"` = 2 ; then show that :
`x^2 + 1/x^2 = x^3 + 1/x^3 = x^4 + 1/x^4`
If `x + (1)/x = 5`, find the value of `x^2 + (1)/x^2, x^3 + (1)/x^3` and `x^4 + (1)/x^4`.
If x3 + y3 = 9 and x + y = 3, find xy.
If 2a - 3b = 10 and ab = 16; find the value of 8a3 - 27b3.
Expand (52)3
Expand (104)3
Find the volume of the cube whose side is (x + 1) cm
a3 + b3 = (a + b)3 = __________
