English Medium इयत्ता ९ - CBSE Question Bank Solutions

Simplify the following products:

`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`

Simplify the following product:

(x² + x − 2)(x² − x + 2)

Simplify the following products:

`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`

Simplify the following products:

`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`

Prove that a² + b² + c² − ab − bc − ca is always non-negative for all values of a, b and c

Write in the expanded form:

`(a + 2b + c)^2`

Write in the expanded form:

(2a - 3b - c)²

Write the expanded form:

`(-3x + y + z)^2`

Write in the expanded form:

`(m + 2n - 5p)^2`

Write in the expanded form:

`(2 + x - 2y)^2`

Write in the expanded form (a² + b² + c² )²

Write in the expanded form: (ab + bc + ca)²

Write in the expanded form: `(x/y + y/z + z/x)^2`

Write in the expanded form:

`(a/(bc) + b/(ca) + c/(ab))^2`

Write in the expanded form: `(x + 2y + 4z)^2`

Write in the expand form: `(2x - y + z)^2`

Write in the expanded form: (-2x + 3y + 2z)²

Simplify (a + b + c)² + (a - b + c)²

Simplify: `(a + b + c)^2 - (a - b + c)^2` 

Simplify (a + b + c)² + (a - b + c)² + (a + b - c)²