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If space fraction numerator 3 straight a plus 4 straight b over denominator 3 straight c plus 4 straight d end fraction equals fraction numerator 3 straight a minus 4 straight b over denominator 3 straight c minus 4 straight d end fraction comma space prove space that space straight a over straight b equals straight c over straight d.

Asked by Topperlearning User 14th September 2017, 9:57 AM
Answered by Expert
Answer:

begin mathsize 14px style fraction numerator 3 straight a plus 4 straight b over denominator 3 straight c plus 4 straight d end fraction equals fraction numerator 3 straight a minus 4 straight b over denominator 3 straight c minus 4 straight d end fraction
rightwards double arrow fraction numerator 3 straight a plus 4 straight b over denominator 3 straight a minus 4 straight b end fraction equals fraction numerator 3 straight c plus 4 straight d over denominator 3 straight c minus 4 straight d end fraction space space space space space space space space.... left parenthesis By space Alternendo right parenthesis
rightwards double arrow fraction numerator 3 straight a plus 4 straight b plus 3 straight a minus 4 straight b over denominator 3 straight a plus 4 straight b minus 3 straight a plus 4 straight b end fraction equals fraction numerator 3 straight c plus 4 straight d plus 3 straight c minus 4 straight d over denominator 3 straight c plus 4 straight d minus 3 straight c plus 4 straight d end fraction space space space space space space space space.... left parenthesis By space Componendo space and space Dividendo right parenthesis
rightwards double arrow fraction numerator 6 straight a over denominator 8 straight b end fraction equals fraction numerator 6 straight c over denominator 8 straight d end fraction
rightwards double arrow straight a over straight b equals straight c over straight d end style

Answered by Expert 14th September 2017, 11:57 AM
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