Question

Activites Section
Maths Lab
Objective: To show geometrically that a-b2 = (a + b) (a - b)
Method: Cut a square piece with side a = 6 cm. Its area is 36 sq. cm.
From this, cut out a small square with side b = 2 cm. Its area is bis 4 sq. cm. The o-b
area of the remaining portion is a -62 = (36 - 4) sq. cm. = 32 sq. cm. As shown
in the figure, cut along the green line in the remaining portion to get two pieces
Rearrange the remaining portions to form a rectangle of sides (a - b) and (a + b).
Observation: We observe that al-band (a + b)(a - b) are equal
Conclusion: We can conclude that a?-b? = (a + b)(a - b).
Extended activity: Represent geometrically, the factorisation of a polynomial of
the type x2 + x(a + b) + ab = (x + a) (x + b).​

Answer 1

Answer:

Method: Cut a square piece with side a = 6 cm. Its area is 36 sq. cm. From this, cut out a small square with side b = 2 cm. Its area is bis 4 sq. cm