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

Factorise the following by grouping the terms:
8(2a + b)² - 8a -4b

Factorise the following by grouping the terms:
x(x - 4)- x + 4

Factorise the following by grouping the terms:
2m³ - 5n² - 5m²n + 2mn

Factorise the following by grouping the terms:
4abx² + 49aby² + 14xy(a² + b²)

Factorise the following by grouping the terms:
9x³ + 6x²y² - 4y³ - 6xy

Factorise the following by grouping the terms:
3ax² - 5bx² + 9az² + 6ay² - 10by² - 15bz²

Factorise the following by grouping the terms:
8x³ - 24x²y + 54xy² -162y³

Factorise the following by grouping the terms:
2a + b + 3c - d + (2a + b)³ + (2a + b)²(3c - d)

Factorise the following by grouping the terms:
xy(a² + 1) + a(x² + y²)

Factorise the following by grouping the terms:
p²x² + (px² + 1)x + p

Factorise the following by grouping the terms:
x² - (p + q)x + pq

Factorise the following by grouping the terms:

`"p"^2 + (1)/"p"^2 - 2 - 5"p" + (5)/"p"`

Factorise the following by grouping the terms:
x + y + m(x + y)

Factorise the following by grouping the terms:

`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`

Factorise the following by grouping the terms:
2p(a² - 2b²) -14p + (a² - 2b²)² - 7(a² - 2b²)

Evaluate the following:

`(2^3 xx 3^5 xx 24^2)/(12^2 xx 18^3 xx 27)`

Evaluate the following:

`(4^3 xx 3^7 xx 5^6)/(5^8 xx 2^7 xx 3^3)`

Evaluate the following:

`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`

Evaluate the following:

`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`

Evaluate the following:

`(1 - 15/64)^(-1/2)`