Advertisements
Advertisements
प्रश्न
Use property to evaluate : 383 + (-26)3 + (-12)3
उत्तर
Property is if a + b + c = 0 then a3 + b3 + c3 = 3abc
a = 38, b = -26, c = -12
383 + (-26)3 + (-12)3 = 3(38)(-26)(-12) = 35568
APPEARS IN
संबंधित प्रश्न
If `a^2 + 1/a^2` = 18; a ≠ 0 find :
(i) `a - 1/a`
(ii) `a^3 - 1/a^3`
If a + 2b + c = 0; then show that: a3 + 8b3 + c3 = 6abc.
Two positive numbers x and y are such that x > y. If the difference of these numbers is 5 and their product is 24, find:
(i) Sum of these numbers
(ii) Difference of their cubes
(iii) Sum of their cubes.
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^2 + 1/a^2 )`
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^3 - 1/a^3 )`
Find the cube of: 2a - 5b
Find the cube of: `3"a" + (1)/(3"a")`
If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.
Expand: `((2m)/n + n/(2m))^3`.
Find 27a3 + 64b3, if 3a + 4b = 10 and ab = 2