Q5 of 157 Page 22

Evaluate the following by using the identities:
998²

∵ 998² = (1000 – 2)²

We know that

(a– b)² = a² + b² – 2a×b

⇒ (1000 – 2)² = ((1000)² + (2)² – 2×1000×2)

⇒ (1000 – 2)² = 1000000 + 4 – 4000

⇒ 998² = 996004

Evaluate the following by using the identities:

54²

Evaluate the following by using the identities:

92²

Evaluate the following by using the identities:

53 × 47

Evaluate the following by using the identities:

96 × 104

Questions · 157

1. Algebra

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Evaluate the following by using the identities:9982