Q5 of 157 Page 22

Evaluate the following by using the identities:
103²

∵ 103² = (100 + 3)²

We know that

(a+ b)² = a² + b² + 2a×b

⇒ (100 + 3)² = ((100)² + (3)² + 2×100×3)

⇒ (100 + 3)² = 10000 + 9 + 600

⇒ 103² = 10609

Find out the following squares by using the identities:

0.54 × 0.54 – 0.46 × 0.46

Evaluate the following by using the identities:

48²

Evaluate the following by using the identities:

54²

Questions · 157

1. Algebra

1 1 1 1 1 1 1 2 3 4 5 6 1 2 3 4 5 5 5 5 5 6 6 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2

Evaluate the following by using the identities:1032