Q2 of 157 Page 22

Using a suitable identity, find each of the following products:
(5a – 3b) (5a – 3b)

Given (5a – 3b) (5a – 3b) = (5a – 3b)²

We know that

(a– b)² = a² + b² – 2a×b

⇒ (5a – 3b) (5a – 3b) = ((5a)² + (3b)² – 2×5a×3b)

⇒ (5a – 3b) (5a – 3b) = 25a² + 9b² – 30ab

Using a suitable identity, find each of the following products:

(3x + 2) (3x – 2)

Using a suitable identity, find each of the following products:

(2l – 3m) (2l + 3m)

Using a suitable identity, find each of the following products:

Questions · 157

1. Algebra

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Using a suitable identity, find each of the following products:(5a – 3b) (5a – 3b)