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

If x + y + z = p and xy + yz + zx = q; find x² + y² + z².

If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a"  + (1)/"a"`

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

If `"p"  + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`

If `"p"  + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`

If `"r"  - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`

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

If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`

If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.

Simplify:
(4x + 5y)² + (4x - 5y)²

Simplify:
(7a +5b)² - (7a - 5b)²

Simplify:

`("a" - 1/"a")^2 + ("a" + 1/"a")^2`

Simplify:
(x + y - z)² + (x - y + z)²

Simplify:
(2x + y)(4x² - 2xy + y²)

Simplify:

`(x - 1/x)(x^2 + 1 + 1/x^2)`

Simplify:
(x + 2y + 3z)(x² + 4y² + 9z² - 2xy - 6yz - 3zx)

Simplify:
(1 + x)(1 - x)(1 - x + x²)(1 + x + x²)

Simplify:
(3a + 2b - c)(9a² + 4b² + c² - 6ab + 2bc +3ca)

Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)

Simplify:
(2x - 4y + 7)(2x + 4y + 7)