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Question

Simplify 754 × 845 + 754 × 155 by using distributivity of multiplication over addition.

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Solution

Distributive law of multiplication over addition: a (b + c) = a × b + a × c
∴ 754 × 845 + 754 × 155 = 754(845 + 155)
= 754 × 1000
= 754000
Hence, 754 × 845 + 754 × 155 = 754000.

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