If a = 1, b = 2 and c = −3, put the values in the given equations and mention the law which they prove.

(1) [2a + (−3b)] c = 2ac − 3bc

(2) a × (2b × 3c) = (a × 2b) × 3c

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Solution

(1)

The equation proves the distributive law.

(2)

∴ LHS = RHS

The equation proves the associative law.

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