Evaluate using suitable identities102 × 106

1.	Evaluate using suitable identities102 × 106
Answer» 102 × 106 = (100 + 2) (100 + 6) This is in the form. (x + a)(x + b) = x² +(a + b)x + ab Here x = 100, a = 2, b = 6 (100 + 2)(100 + 6) = 100² +(2 + 6)100 + 2 × 6 = 10000 + (8)100 + 12 = 10000 + 800 + 12 ∴102 × 106 = 10812

Answer»

102 × 106 = (100 + 2) (100 + 6)

This is in the form. (x + a)(x + b)

= x² +(a + b)x + ab

Here x = 100, a = 2, b = 6

(100 + 2)(100 + 6) = 100² +(2 + 6)100 + 2 × 6

= 10000 + (8)100 + 12

= 10000 + 800 + 12

∴102 × 106 = 10812

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