Q5 of 157 Page 22

Evaluate the following by using the identities:
92²

∵ 92² = (100 – 8)²

We know that

(a– b)² = a² + b² – 2a×b

⇒ (100 – 8)²= ((100)² + (8)² – 2×100×8)

⇒ (100 – 8)² = 10000 + 64 – 1600

⇒ 92² = 8464

Evaluate the following by using the identities:

48²

Evaluate the following by using the identities:

54²

Evaluate the following by using the identities:

998²

Evaluate the following by using the identities:

53 × 47

Questions · 157

1. Algebra

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Evaluate the following by using the identities:922