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

Factorise:

(2a - 3)² - 2 (2a - 3) (a - 1) + (a - 1)²

Factorise : (a² - 3a) (a² - 3a + 7) + 10

Factorise : (a² - a) (4a² - 4a - 5) - 6

Factorise: x⁴ + y⁴ - 3x²y²

Factorise:

5a² - b² - 4ab + 7a - 7b

Factorise : 12(3x - 2y)² - 3x + 2y - 1

Factorise : 4(2x - 3y)² - 8x+12y - 3

Factorise : 3 - 5x + 5y - 12(x - y)²

Factorise : 9x ² + 3x - 8y - 64y²

Factorise : 2√3x² + x - 5√3

Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2` 

Factorise : 2(ab + cd) - a² - b² + c² + d²

Find the value of : ( 987 )² - (13)²

Find the value of : ( 67.8 )² - ( 32.2 )²

Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`

Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`

Solve the pair of linear (simultaneous) equations by the method of elimination by substitution:
8x + 5y = 9
3x + 2y = 4

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution :
2x - 3y = 7
5x + y= 9

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
2x + 3y = 8
2x = 2 + 3y

Solve the following pair of linear (simultaneous) equation by the method of elimination by substitution:

0.2x + 0.1y = 25

2(x - 2) - 1.6y = 116