ICSE ICSE Class 8 - CISCE Question Bank Solutions

Factorise : 15x⁴y³ - 20x³y

Factorise : a³b - a²b² - b³  

Factorise : 6x²y + 9xy² + 4y³ 

Factorise : 17a⁶b⁸ - 34a⁴b⁶ + 51a²b⁴ 

Given below are the angles x and y.

Without measuring these angles, construct :

(i)

(ii)

(iii)

Factorise : 3x⁵y - 27x⁴y² + 12x³y³  

Factorise : x²(a-b)-y² (a-b)+z²(a-b)  

Given below are the angles x, y, and z.

Without measuring these angles construct :

(i) (ii) (iii)

Factorise : (x + y)(a + b) + (x - y)(a + b) 

Factorise : 2b (2a + b) - 3c (2a + b) 

Factorise : 12abc - 6a²b²c² + 3a³b³c³  

Factorise : 4x(3x - 2y) - 2y(3x - 2y) 

Draw a line segment BC = 4 cm. Construct angle ABC = 60°.

Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)² 

Construct angle ABC = 45° in which BC = 5 cm and AB = 4.6 cm.

Factorise: 6xy(a² + b²) + 8yz(a² + b²) −10xz(a² + b²)

Find the square root of 7 correct to two decimal places; then use it to find the value of `sqrt((4+sqrt(7))/(4-sqrt(7)` correct to three significant digits.

Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.

Find the square root of: `(1764)/(2809)`

Find the square root of: `sqrt(108 xx 2028)`