Evaluate using suitable identities103× 96

1.	Evaluate using suitable identities103× 96
Answer» 103 × 96 = (100 + 3)(100 - 4) This is in the form. (x + a)(x + b) = x² + (a + b)x + ab Here x = 100, a = 3, b = -4 (100 + 3)(100-4) = 100² + (3 – 4)100 + 3 × -4 = 10000 + (- 1)100 – 12 = 10000 – 100 – 12 103 × 96 = 9888

Answer»

103 × 96 = (100 + 3)(100 - 4)

This is in the form.

(x + a)(x + b) = x² + (a + b)x + ab

Here x = 100, a = 3, b = -4

(100 + 3)(100-4) = 100² + (3 – 4)100 + 3 × -4

= 10000 + (- 1)100 – 12

= 10000 – 100 – 12

103 × 96 = 9888

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