| Webster Wells - 1897 - 422 pages
...square a — b. a — b a — b a2 — ab - ab + bг Whence, (a - &)2 = a2 - 2 a& + Ь2. That is, the **square of the difference of two quantities is equal...square of the first, minus twice the product of the** two, plus the square of the second. Example. Square 4 x — 5. 80. Let it be required to multiply a... | |
| Webster Wells - Algebra - 1897 - 388 pages
...required to square а — b. ab a — b a2 — ab - ab + b2 Whence, (a -b)i = a?-2ab + b2. That is, the **square of the difference of two quantities is equal...square of the first, minus twice the product of the** two, plus the square of the second. Example. Square 4 x — 5. Wehave, (4x - 5)2 =(4 ж)3 - 2 x ix... | |
| Webster Wells - Algebra - 1897 - 378 pages
...to square a — 6. a — b a — b a2— ab - ab + b2 Whence, (a - b)2 = a2 - 2 ab + b\ That is, the **square of the difference of two quantities is equal...square of the first, minus twice the product of the** two, plus the square of the second. Example. Square 4 ж — 5. 80. Let it be required to multiply... | |
| Webster Wells - Algebra - 1897 - 448 pages
...b. a — b a — b a2— ab -ab + b2 Whence, (a - b)2 = a2 - 2 a& + b1. That is, the square oftJie **difference of two quantities is equal to the square of the first, minus twice the product of the** two, plus the square of the second. Example. Square 4 x — 5. 80. Let it be required to multiply a... | |
| Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 478 pages
...language, is the rule— The square of the sum of two quantities equals the square of the first, plus **twice the product of the first by the second-, plus the -square of the second.** Ex. (2z + ЗуУ = 4з? + Í2xy + Qf, Product. Since the square of 2x is 4z2, twice the product of... | |
| National Eclectic Medical Association of the United States of America - 1897 - 382 pages
...algebra, the square of the sum- of two quantities is exactly equal to the square of the first, plus **twice the product of the first by the second, plus the square of the second.** In geometry, the square of the hypothenuse of a right-angled triangle exactly equals the sum of the... | |
| Electrical engineering - 1897 - 672 pages
...plus the square of the second. 429. Also, that The square of the difference of two quantities equals **the square of the first, minus twice the product of the first by the second,** phis the square of the second. 430. The-third example is: 3. To find the product of the sum and difference... | |
| W. H. F. Henry - Questions and answers - 1899 - 440 pages
...secondi plus the square of the second. Thus, (a + 6)* = (a + 6) (a + 6) =• of + 2a6 + b1. (2) The **square of the difference of two quantities is equal...of the first, minus twice the product of the first** and second, plus the square of the second. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'. (3)... | |
| International Correspondence Schools - Civil engineering - 1899 - 722 pages
...square of the second. 429. Also, that The square of the difference of two quantities equals the tquare **of the first, minus twice the product of the first by the second, plus the square of the second.** 430. The third, example is: 3. To find the product of the sum and difference of two quantities. By... | |
| William J. Milne - Algebra - 1899 - 172 pages
...term obtained ? The third term ? 2. What signs connect the terms of the power ? 61. PRINCIPLE. The **square of the difference of two quantities is equal to the square of the first** quantity, minus twice the product of the first and second, plus the square of the second. Write out... | |
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