Which of the following represents associative law of addition?

a + (bc) = (ab) + c

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a + (b + c) ≠ (a + b) + c

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a + b = b + a

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a + (b + c) = (a + b) + c

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Solution

The correct option is D
a + (b + c) = (a + b) + c

a + (b + c) = (a + b) + c

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{tan}^{- 1} \sqrt{\frac{a (a + b + c)}{b c}} + {tan}^{- 1} \sqrt{\frac{b (a + b + c)}{c a}} + {tan}^{- 1} \sqrt{\frac{c (a + b + c)}{a b}}

a, b, c > 0

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