Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions for Mathematics

Factorise the following, using the identity a² + 2ab + b² = (a + b)². 

9x² + 30x + 25

Factorise the following, using the identity a² + 2ab + b² = (a + b)². 

2x³ + 24x² + 72x

Factorise the following, using the identity a² + 2ab + b² = (a + b)². 

a²x³ + 2abx² + b²x

Factorise the following, using the identity a² + 2ab + b² = (a + b)².

4x⁴ + 12x³ + 9x² 

Factorise the following, using the identity a² + 2ab + b² = (a + b)². 

`x^2/4 + 2x + 4`

Factorise the following, using the identity a² + 2ab + b² = (a + b)². 

`9x^2 + 2xy + y^2/9`

Factorise the following.

x² + 15x + 26

Factorise the following.

x² + 9x + 20

Factorise the following.

y² + 18x + 65

Factorise the following.

p² + 14p + 13

Factorise the following.

18 + 11x + x² 

Factorise the following.

y² + 7y + 12

The area of a square is given by 4x² + 12xy + 9y². Find the side of the square.

The area of a square is 9x² + 24xy + 16y². Find the side of the square.

The area of a rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

The area of a circle is given by the expression πx² + 6πx + 9π. Find the radius of the circle.

The height of a triangle is x⁴ + y⁴ and its base is 14xy. Find the area of the triangle.

The cost of a chocolate is Rs (x + y) and Rohit bought (x + y) chocolates. Find the total amount paid by him in terms of x. If x = 10, find the amount paid by him.

If p + q = 12 and pq = 22, then find p² + q².

If a + b = 25 and a² + b² = 225, then find ab.