Q5 of 157 Page 22

Evaluate the following by using the identities:
48²

∵ 48² = (50 – 2)²

We know that

(a– b)² = a² + b² – 2a×b

⇒ (50 – 2)² = ((50)² + (2)² – 2×50×2)

⇒ (50 – 2)² = 2500 + 4 – 200

⇒ 48² = 2304

Find out the following squares by using the identities:

0.54 × 0.54 – 0.46 × 0.46

Evaluate the following by using the identities:

103²

Evaluate the following by using the identities:

54²

Evaluate the following by using the identities:

92²

Questions · 157

1. Algebra

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Evaluate the following by using the identities:482