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

Using suitable identity, evaluate (104)³

Using suitable identity, evaluate (97)³ 

Simplify :
`[(x^2 - y^2)^3 + (y^2 - z^2)^3 + (z^2 - x^2)^3]/[(x - y)^3 + (y - z)^3 + (z - x)^3]`

Evaluate :
`[0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5]/[0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx .5]`

Evaluate :
`[1.2 xx 1.2 + 1.2 xx 0.3 + 0.3 xx 0.3 ]/[ 1.2 xx 1.2 xx 1.2 -  0.3 xx 0.3 xx 0.3]`

Factorise by the grouping method : a³ + a - 3a² - 3

Factorise by the grouping method: 16 (a + b)² - 4a - 4b

Factorise by the grouping method : a⁴ - 2a³ - 4a + 8

Factorise by the grouping method : ab - 2b + a² - 2a

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

Factorise by the grouping method : a² + b - ab - a

Factorise by the grouping method : (ax + by)² + (bx - ay)²

Factorise by the grouping method : a²x² + (ax² + 1) x + a

Factorise by the grouping method : (2a-b)² -10a + 5b

Factorise by the grouping method : a (a -4) - a + 4

Factorise by the grouping method : y² - (a + b) y + ab

Factorise by the grouping method : 
`a^2 + 1/a^2 - 2 - 3a + 3/a`

Factorize using the grouping method:

x² + y² + x + y + 2xy

Factorise using the grouping method :
a² + 4b² - 3a + 6b - 4ab

Factorise using the grouping method :
m (x - 3y)² + n (3y - x) + 5x - 15y