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If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

Correct Answer: a/b = c/d

Explanation:

(4a+7b)(4c-7d) = (4a-7b)(4c+7d)


(4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)


Using componendo and dividendo


(4a+7b)+(4a-7b) / (4a+7b)-(4a-7b)


= (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)


Or 8a/14b = 8c/14d


Or a/b = c/d


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