Elements of Algebra
Elements of Algebra
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In our eReader you can find the full English version of the book. Read Elements 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 Elements of Algebra
What reading level is Elements of Algebra book?
To quickly assess the difficulty of the text, read a short excerpt:
771^+2 mn + n^ —p {m + 11) . 29. X^'' + 2 i^"^/'" + i/^"*.
28. A(&-c)-(6'^-26c+r). 30. 36 0;'^+' - 48 0)"+^ + 16 o;^ 138. A perfect square which contains only two different powers of some one letter can often be reduced to the type^ form o? -\- 2 ab -\- W by first writing the polynomial in de- scending powers of that letter.
FACTORS OF EXPRESSIONS 129 Ex. 1. Factor x"^ -h y^ -{- z- + 2xy - 2xz - 2 yz.
The expression contains only two different powers of x ; hence, we arrange the expression in d...escending powers of x, as follows • The expression = x^ + 2x(y — z)-^(y^ -\- z^ — 2 yz) = x2 + 2x(y-0) + (y-0)2 = (x-hy- zy.
We could have arranged this expression in descending powers of y or z.
Ex. 2. Factor a* + 4 6* + 9 c* + 4 a-b^ - G a-d^ - 12 b^c'^.
Arranging the expression in descending powers of a, we have The expression = a* + 2 a2(2 62 _ 3 c2) + (4 6* + 9 c* - 12 b^c^) = a* -{-2 a\2 h'^ - 3 c2) + (2 62 - 3 c2)2 = (a2 + 2 62 - 3 c2)2.
Ex. 3. Factor a6 _ 2 a5 + 3 a* + 2 a\b - 1) + a\l - 2 6) + 2 a6 + 6^.
What to read after Elements of Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James M James Morford Taylor to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
771^+2 mn + n^ —p {m + 11) . 29. X^'' + 2 i^"^/'" + i/^"*.
28. A(&-c)-(6'^-26c+r). 30. 36 0;'^+' - 48 0)"+^ + 16 o;^ 138. A perfect square which contains only two different powers of some one letter can often be reduced to the type^ form o? -\- 2 ab -\- W by first writing the polynomial in de- scending powers of that letter.
FACTORS OF EXPRESSIONS 129 Ex. 1. Factor x"^ -h y^ -{- z- + 2xy - 2xz - 2 yz.
The expression contains only two different powers of x ; hence, we arrange the expression in d...escending powers of x, as follows • The expression = x^ + 2x(y — z)-^(y^ -\- z^ — 2 yz) = x2 + 2x(y-0) + (y-0)2 = (x-hy- zy.
We could have arranged this expression in descending powers of y or z.
Ex. 2. Factor a* + 4 6* + 9 c* + 4 a-b^ - G a-d^ - 12 b^c'^.
Arranging the expression in descending powers of a, we have The expression = a* + 2 a2(2 62 _ 3 c2) + (4 6* + 9 c* - 12 b^c^) = a* -{-2 a\2 h'^ - 3 c2) + (2 62 - 3 c2)2 = (a2 + 2 62 - 3 c2)2.
Ex. 3. Factor a6 _ 2 a5 + 3 a* + 2 a\b - 1) + a\l - 2 6) + 2 a6 + 6^.
What to read after Elements of Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James M James Morford Taylor to read onlineMoreLess
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