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

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.

If a² + b² = 74 and ab = 35, then find a + b.

Verify the following:

(a + b)(a + b)(a + b) = a³ + 3a²b + 3ab² + b³ 

Verify the following:

(5x + 8)² – 160x = (5x – 8)² 

Verify the following:

(7p – 13q)² + 364pq = (7p + 13q)²

What should be added to 4c(– a + b + c) to obtain 3a(a + b + c) – 2b(a – b + c)?

Factorise `x^2 + 1/x^2 + 2 - 3x - 3/x`.

Factorise p⁴ + q⁴ + p²q².

Find the length of the side of the given square if area of the square is 625 square units and then find the value of x.

Take suitable number of cards given in the adjoining diagram [G(x × x) representing x², R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:

1. 2x² + 6x + 4
2. x² + 4x + 4.

Factorise 2x² + 6x + 4 by using the figure.

Calculate the area of figure.