The Complete Algebra ..

Cover The Complete Algebra ..
The Complete Algebra ..
Edward Olney
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6a8— 6aar« Ex. 1. Reduce 3a*-f 6a8a;+3a«a;3 to its lowest terms. Model Solution. — Resolving the terms of the fraction into their prune factors, I have ^ ^ „ ^ — ^r-i-^ = *, ^ / tt^^.- Now, ^ 8a* + 6a»aj + 3aV ^•|<-a(a+a;)(^^) ' cancelling the common factors, 3, a, and a+a;, which is dividing dividend and divisor by the same quantity and hence does not alter the value of the fraction, I have , ~^ { , or —^ — . Since in this there is no factor common to numerator and denominator, it is in its lowest terms (154). 2. Reduce their lowest terms. 15^y llOmay 12ah^ , 45rtW 26c3^f' 666m^f' 36^' 16a^(^x Digitized by Google 108 .FBAOnOKS. their lowest terms. 1 a? 3^ i2««u«« (not given in order), g^, ^^, 3a^^,and ^^. a— a? «a;+a53 2a;8— 16a;— 6 , ^, . X 2 1 lowest terms. Results (not in order), t^, x? and • - ^ , n«— 2w+l 3a8— 3a52 a^s^ja^. their lowest terms. Results, — -^-, — -t> ai^d rr — • a; 4- ^ u-\-l 00 5. Eeduce ^ ,, to its lowest terms. a«— y» 6.

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