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

Factorise the following by taking out the common factors:
5a(x² - y²) + 35b(x² - y²)

Factorise the following by taking out the common factors:
2x⁵y + 8x³y² - 12x²y³

Factorise the following by taking out the common factors:
12a³ + 15a²b - 21ab²

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 :
6x + 3y = 7xy
3x + 9y = 11xy

Solve the following simultaneous equation :
8v - 3u = 5uv
6v - 5u = -2uv

Solve the following simultaneous equations :
3(2u + v) = 7uv
3(u + 3v) = 11uv

Solve the following simultaneous equations :
2(3u - v) = 5uv
2(u + 3v) = 5uv