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

Factorise by the grouping method : a⁴ - 2a³ - 4a + 8

Factorise by the grouping method : ab - 2b + a² - 2a

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

Factorise by the grouping method : a² + b - ab - a

Factorise by the grouping method : (ax + by)² + (bx - ay)²

Factorise by the grouping method : a²x² + (ax² + 1) x + a

Factorise by the grouping method : (2a-b)² -10a + 5b

Factorise by the grouping method : a (a -4) - a + 4

Factorise by the grouping method : y² - (a + b) y + ab

Factorise by the grouping method : 
`a^2 + 1/a^2 - 2 - 3a + 3/a`

Factorize using the grouping method:

x² + y² + x + y + 2xy

Factorise using the grouping method :
a² + 4b² - 3a + 6b - 4ab

Factorise using the grouping method :
m (x - 3y)² + n (3y - x) + 5x - 15y

Factorise using the grouping method :
x (6x - 5y) - 4 (6x - 5y)²

Solve:

`9/x - 4/y = 8`

`13/x + 7/y = 101`

Solve the pairs of equations :
`3/x + 2/y = 10`

`9/x - 7/y = 10.5`

Solve :
5x + `8/y` = 19

3x - `4/y` = 7

Solve :
4x + `6/y` = 15 and 3x - `4/y` = 7. Hence, find a if y = ax - 2.

Solve :
`3/x - 2/y = 0 and 2/x + 5/y = 19` Hence, find 'a' if y = ax + 3.

Solve :
`20/[ x + y ] + 3/[ x - y ] = 7`

`8/[ x - y ] - 15/[ x + y ] = 5`