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Use the Identity (x + a) (x + b) = x2 + (a + b)x + ab to find the following: 95 × 103 -

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Question

Use the Identity (x + a) (x + b) = x2 + (a + b)x + ab to find the following:

95 × 103

Sum

Solution

95 × 103
= (100 - 5) × (100 + 3)
= 1002 + (-5 + 3) × 100 + (-5) × 3
= 10000 - 200 - 15
= 9785.

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