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Find the product using suitable identity (i) (5x – 3) (5x + 3) (ii) 103 x 99

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Find the product using suitable identity

(i) (5x – 3) (5x + 3)

(ii) 103 x 99

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(i) (5x – 3) (5x + 3)

= (5x)2 – (3)2 (Using identity 3)

= 25x2 – 9

(ii) 103 x 99

(100 + 3) x (100 – 1)

(100 + 3) x {100 + (- 1)}

= (100)2 + {3 + (-1)} 100 + (3) (-1) (Using given identity)

= 1000 + 200 – 3

= 10197

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