(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Find the cube of: `3"a" + (1)/(3"a")`

Find the cube of: `4"p" - (1)/"p"`

Find the cube of: `(2"m")/(3"n") + (3"n")/(2"m")`

Find the cube of: `"a"  - (1)/"a" + "b"`

If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.

If `3x - (1)/(3x) = 9`; find the value of `27x^3 - (1)/(27x^3)`.

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 `"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 `9"a"^2 + (1)/(9"a"^2) = 23`; find the value of `27"a"^3 + (1)/(27"a"^3)`

If `x^2 + (1)/x^2 = 18`; find : `x^3 - (1)/x^3`

If `"p"  + (1)/"p" = 6`; find : `"p"^3 + (1)/"p"^3`

If `"r"  - (1)/"r" = 4`; find : `"r"^3 - (1)/"r"^3`

If `"a"  + (1)/"a" = "p"`; then show that `"a"^3 + (1)/"a"^3 = "p"("p"^2 - 3)`

If `("a" + 1/"a")^2 = 3`; then show that `"a"^3 + (1)/"a"^3 = 0`

If a + b + c = 0; then show that a³ + b³ + c³ = 3abc.

If a + 2b + c = 0; then show that a³ + 8b³ + c³ = 6abc

If x³ + y³ = 9 and x + y = 3, find xy.

If a + b = 5 and ab = 2, find a³ + b³.