solve the problem
formula- a3+3a2b+3ab3+b3
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Answers
Answer:
To verify the identity (a+b)3 = a3 + b3 + 3a2b + 3ab2, we shall take value of a = 3units and value of b = 1unit.
First we will make a cube of dimensions (a+b) i.e., (3+1 = 4 units). For this, we will use 64 unit cubes and arrange them as shown in fig.(i).
CBSE Class 9 Maths Lab Manual – Algebraic Identity (a + b)3 = a3 + b3 + 3a2b + 3ab2 1
From other set of 64 cubes we will make arrangements as shown in figures.
Arrange 27 cubes such that a x a x a cube is formed i.e., 3 x 3 x 3 set is formed in fig.(ii).
CBSE Class 9 Maths Lab Manual – Algebraic Identity (a + b)3 = a3 + b3 + 3a2b + 3ab2 2
Arrange 9 cubes such that 3 columns of 3 cubes is formed as shown in fig. (iii). Make 3 sets of such arrangement.
Answer:
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