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

Factorise the following by taking out the common factors:
24m⁴n⁶ + 56m⁶n⁴ - 72m²n²

Factorise the following by taking out the common factors:
(a - b)² -2(a - b)

Factorise the following by taking out the common factors:
2a(p² + q²) + 4b(p² + q²)

Factorise the following by taking out the common factors:
81(p + q)² -9p - 9q

Factorise the following by taking out the common factors:
(mx + ny)² + (nx - my)²

Factorise the following by taking out the common factors:
36(x + y)³ - 54(x + y)²

Factorise the following by taking out the common factors:
p(p² + q² - r²) + q(r² - q² -p²) - r(p² + q² - r²)

Factorise:

`y^2 + (1)/(4y^2) + 1 - 6y - (3)/y`

Factorise:

`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`

Factorise:
x⁴ + y⁴ - 6x²y²

Factorise:
4x⁴ + 25y⁴ + 19x²y²

Factorise:

`"p"^2 + (1)/"p"^2 - 3`

Factorise:
5x² - y² - 4xy + 3x - 3y

Solve the following simultaneous equations by the substitution method:
2x + y = 8
3y = 3 + 4x

Solve the following simultaneous equations by the substitution method:
x + 3y= 5
7x - 8y = 6

Solve the following simultaneous equations by the substitution method:
5x + 4y - 23 = 0
x + 9 = 6y

Solve the following simultaneous equations by the substitution method:
2x + 3y = 31
5x - 4 = 3y

Solve the following simultaneous equations by the substitution method:
7x - 3y = 31
9x - 5y = 41

Solve the following simultaneous equations by the substitution method:
13 + 2y = 9x
3y = 7x

Solve the following simultaneous equations by the substitution method:
0.5x + 0.7y = 0.74
0.3x + 0.5y = 0.5