 Add all the positive coefficients together, and oho all those that are negative ; subtract the least of these results from the greater ; to the difference annex the common letter or letters, and prefix the sign of the greater sum. Thus, instead of 7a—...  A Treatise on Algebra - Page 13by Elias Loomis - 1855 - 316 pagesFull view - About this book
 | Jeremiah Day - Algebra - 1847 - 358 pages
...SEVERAL TERMS TO ONE, WHEN THE QUANTITIES ARE ALIKE, BUT THE SIGNS UNLIKE, TAKE THE LESS CO-EFFICIENT FROM THE GREATER; TO THE DIFFERENCE, ANNEX THE COMMON...LETTER OR LETTERS, AND PREFIX THE SIGN OF THE GREATER CO-EFFICIENT. And instead of 76-26, AVC may put 56. Thus, instead of 8a - 6a, we may write 2a. For... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...When the quantities are alike, but the signs unlike, as +96 and — 66. Take the liss co-efficient from the greater ; to the difference, annex the common letter or letters, and prefix the sign of (he greater co-efficient. Suppose a man's loss $500 and his gain $12000. The algebraic notation is... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...positive coefficients together, and als< all those that are negative ; subtract the least of thes". results from the greater ; to the difference annex...a, this signifies that from 5a we are to subtract 2a, add 3a to the remainder, and then subtract a from this last sum, the result of which operation... | |
 | Elias Loomis - Algebra - 1858 - 394 pages
...quantities are similar, but have different signs. RULE. Add all the positive coefficients together, and also all those that are negative ; subtract the least of...prefix the sign of the greater sum. Thus, instead of 7«— 4a, we may write 3a, since these two expressions obviously have the same value. Also, if we... | |
 | Elias Loomis - Algebra - 1862 - 312 pages
...are similar, but have different signs. RULE. Add all the positive coefficients tog.ether, and also all those that are negative ; subtract the least of...expressions obviously have the same value. Also, if we have 5a—2a+3a—a, this signifies that from 5a we are to subtract 2a, add 3a to the remainder, and then... | |
 | Elias Loomis - Algebra - 1864 - 386 pages
...annex the common letter or letters, and prefix the sign of the greater sum. Thus, instead of 7a—4a, we may write 3a, since these two expressions obviously have the same value. Also, if we have 5a—2a+3a—a, this signifies that from 5a we are to subtract 2a, add 3a to the remainder, and then... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...as before. Hence we deduce the following RULE. Add all the positive coefficients together, and also all those that are negative • subtract the least...or letters, and prefix the sign of the greater sum. EXAMPLES. 2ay- 7 — 2a 2 a _6a 2 +26 - ay+ 8 a?x 2a 2 -36 + 8a x—6ay 2ay- 9 -3a 2 x -5a 2 -86 —... | |
 | Elias Loomis - Algebra - 1868 - 312 pages
...quantities are similar, but have different signs. RULE. Add all the positive coefficients together, and also all those that are negative ; subtract the least of...results from the greater ; to the difference annex t/te common letter or letters, and prefix the sign of the greater sum. Thus, instead of 7 a— 4a,... | |
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...coefficients of the positive terms, and flie sum of the .coefficients of the negative terms, and to this difference annex the common letter or letters, and prefix the sign of the greater sum. (2.) (3.) (4.) (5.) 3xy 4J/2 13aZic2 1±x2y Ba&c2 — 1Zx2y — ab c2 10 x2y 'Ixy — 3j/2 — Saftc2... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...Hence we deduce the following RULE. Add all the positive coefficients together, and also all lhose that are negative ; subtract the least of these results...or letters, and prefix the sign of the greater sum. EXAMPlEa — 3a 6x+5«7/ 2ay- 7 -2o2z -Qaz+2b + 7a -3x+2ay - ay+ 8 a?x 2a2-3Z> + 8a x-6ay 2ay- 9 -3a2x... | |
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