A Text book of Algebra
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In our eReader you can find the full English version of the book. Read A Text book of Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Text book of Algebra
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171 the equation to the other and combining two or more of them together, a considerable reduction may be effected and some long operations avoided.
294. As an instance take the equation 1 1 1 1 01 2~0 3 04 The L. C. M. Of the four denominators is (0 1) (02) (03) (04), and if the two equal expressions were at once multiplied by this L. C. M. , the reduction of the equation would involve the multiplication of three binomial factors for each original fraction. By combining the two fractions on ea...ch side into one, before proceeding to multiply, a much simpler process is required. The equation thus becomes (Art. 205) (0-2) -(0-1) _ (0-4)-(0-3) (0-1) (0-2) " (03) (0-4) -1 _ 1 (0-1) (0-2) "(0-3) (0-4)' Now, multiplying these equals by the L. C. M. Of their denominators, we obtain (0-1) (02) (0-3)(0 4) or _(0_3)(0_4) =(01) (02); (8) whence multiplying out, -02+ 70- 12 = -0 2 + 30-2; and transposing terms, as before, the two terms 2 disappear and we get 70-30 = 12-2, or 40 = 10 ; and by Axiom (4), 10 5 172 Simple Eqtiations [295.
What to read after A Text book of Algebra?
You can find similar books in the "Read Also" column, or choose other free books by W Steadman William Steadman Aldis to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
171 the equation to the other and combining two or more of them together, a considerable reduction may be effected and some long operations avoided.
294. As an instance take the equation 1 1 1 1 01 2~0 3 04 The L. C. M. Of the four denominators is (0 1) (02) (03) (04), and if the two equal expressions were at once multiplied by this L. C. M. , the reduction of the equation would involve the multiplication of three binomial factors for each original fraction. By combining the two fractions on ea...ch side into one, before proceeding to multiply, a much simpler process is required. The equation thus becomes (Art. 205) (0-2) -(0-1) _ (0-4)-(0-3) (0-1) (0-2) " (03) (0-4) -1 _ 1 (0-1) (0-2) "(0-3) (0-4)' Now, multiplying these equals by the L. C. M. Of their denominators, we obtain (0-1) (02) (0-3)(0 4) or _(0_3)(0_4) =(01) (02); (8) whence multiplying out, -02+ 70- 12 = -0 2 + 30-2; and transposing terms, as before, the two terms 2 disappear and we get 70-30 = 12-2, or 40 = 10 ; and by Axiom (4), 10 5 172 Simple Eqtiations [295.
What to read after A Text book of Algebra?
You can find similar books in the "Read Also" column, or choose other free books by W Steadman William Steadman Aldis to read onlineMoreLess
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