Question

Prove (a+b)^2=a^2+2ab+b^2 using a square of side (a+b) cm
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Answer 1

Answer:

Algebraic Identity (a + b)2 = a2 + 2ab + b2

August 20, 2018 by Bhagya Leave a Comment

CBSE Class 9 Maths Lab Manual – Algebraic Identity (a + b)2 = a2 + 2ab + b2

Objective

To verify the identity (a + b)2 = a2 + 2ab + b2 by paper cutting and pasting.

Prerequisite Knowledge

Area of a square = (side)2.

Area of a rectangle = l x b.

Materials Required

A sheet of white paper, three sheets of glazed paper (different colours), a pair of scissors, gluestick and a geometry box.

Procedure

Take distinct values of a and b, say a = 4 units, b = 2 units

Cut a square of side a (say 4 units) on a glazed paper (blue).

Cut a square of side b (say 2 units) on glazed paper (pink).

Now, cut two rectangles of length a (4 units) and breadth b (2 units) from third glazed paper (red).

Answer 2

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