...be divided by the same or equal quantities, the quotients will bo equal. 5. If the вате quantity be both added to and subtracted from another, the value of the latter will not be altered. 6. If a quantity be both multiplied and divided by another, the value of the former...

...subtractively . (Compare Art. 12.) Thus, — Зaб is equivalent to — a6 — a6 — ab. 26. In Arithmetic, if the same number be both added to and subtracted from another, the value of the latter will not be changed. Thus, Similarly, in Algebra, if any quantity b be both added to and subtracted...

...subtractively . (Compare Art. 12.) Thus, — 3 a& is equivalent to — ab — ab — a6. 26. In Arithmetic, if the same number be both added to and subtracted from another, the value of the latter will not be changed. Thus, Similarly, in Algebra, if any quantity b be both added to and subtracted...

...subtractively. (Compare Art. 12.) Thus, — 3ab is equivalent to — ab — ab — ab. 26. In Arithmetic, if the same number be both added to and subtracted from another, the value of the latter will not be changed. Thus, Similarly, in Algebra, if any quantity 6 be both added to and subtracted...

...products will be equal. 5. If equal numbers be divided by equal numbers, the quotients will be equal. 6. If the same number be both added to and subtracted from another, the value of the latter will not be altered. Ex. 1. If a -.---• 1, b = 2, с = 3, d = 4, с = 5, /= 0, find the numerical...

...subtractwely. (Compare Art. 12.) Thus, ~- Sai is equivalent to — ab — ab — ab. 26. In Arithmetic, if the same number be both added to and subtracted from another, the value of the latter will not be changed. Thus, Similarly, in Algebra, if any quantity b be both added to and subtracted...

...terms with their respective signs. 47. By (1), Art. 42, a - 6 + b = a. That is, if the same number is both added to and subtracted from another, the value of the latter will not be changed. In other words, terms of equal absolute value, but opposite sign, in an expression,...

...for factoring a trinomial consisting of two trinomial factors depends upon the following axiom : 5. If the same number be both added to and subtracted from another, the value of the latter will not be changed. EXAMPLE 1. Factor ж4 + я2 z2 + «4. Solution. Adding and subtracting as*s, we...

...fur factoring a trinomial consisting of two trinomial factors depends upon the following axiom : 5. If the same number be both added to and subtracted from another, the value of the latter will not be changed. EXAMPLE 1. Factor x* + a2z2 + a4. Solution. Adding and subtracting asr2, we have...

...will be equal. 4. If equals be divided by equals, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by the same quantity, the former...