Find the products using the algebraic identities.
94 x 97
94 x 97 = (100 – 6)(100 – 3)
Using identity –
(x – a)(x – b) = x2 – (a + b)x + ab, we get -
Take 94 = 100 – 6 and 97 = 100 – 3
94 x 97 = 1002 – (6 + 3)100 + 6× 3
= 10000 – 900 + 18
= 9118
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