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

Simplify:
(2x + y)(4x² - 2xy + y²)

Simplify:

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

Simplify:
(x + 2y + 3z)(x² + 4y² + 9z² - 2xy - 6yz - 3zx)

Simplify:
(1 + x)(1 - x)(1 - x + x²)(1 + x + x²)

Simplify:
(3a + 2b - c)(9a² + 4b² + c² - 6ab + 2bc +3ca)

Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)

Simplify:
(2x - 4y + 7)(2x + 4y + 7)

Simplify:
(3a - 7b + 3)(3a - 7b + 5)

Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16

Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19

Factorise the following by taking out the common factors:
4x²y³ - 6x³y² - 12xy²

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