University Algebra : Embracing a Logical Development of the Science With Numerous Graded Examples

Cover University Algebra : Embracing a Logical Development of the Science With Numerous Graded Examples
University Algebra : Embracing a Logical Development of the Science With Numerous Graded Examples
Charles Davies
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^ ^ ■> a^+2ax-\-x^^ a^ - 2ax + Ans.
a? —x^ 18. --T- , -7 — ; — ^ , and a + — r-r » ~7 — ; — ^ > ^"-"^ ^ "1 ' Ans. .
a; 19. aj H ^ , and a; ^ • ^/w. ^.
x—y x+y g^ — a^ a^ — a;^ a —a; g^ — x — , it follows that, dividing by a quantity is equivalent to multiplying by its reciprocal.
c d But the reciprocal of a fraction, -^, is - (Art. 14); con- sequently, to divide any quantity by a fraction, we invert the terms of the divisor, and multiply by the resulting fraction. Hence, a , c _
..._ a d _ ad b~^ d" b ^ c " b^' Whence, the following rule, for dividing one fraction by another : E u L E.
Invefrt the terms of the divisor^ and mvltiply the dividend by the resulting fraction.


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