| John Henry Walsh - Arithmetic - 1899 - 260 pages
...square of the first + twice the product of the first and the second + the square of the second. The **square of the difference of two quantities is equal to the square of the first** — twice the product of the first and the second -f- the square of the second. (m — «)2 = TO* —... | |
| Analytical chemistry - 1900 - 532 pages
...of the first, plus twice thc product of the first and the second, plus the square of the second. The **square of the difference of two quantities is equal...of the first, minus twice the product of the first** and the second, plus the square of the second. The product of the sum and difference of two quantities... | |
| George Edward Atwood - 1900 - 264 pages
...square of the second. Hence the following principle : 90. PRINCIPLE. — Tl1e product of tl!e surt1 and **difference of two quantities is equal to the square of the first minus** the square of the second. PRODUCT OP TWO BINOMIALS WITH A COMMON TERM. 91. These products can be verified... | |
| John Appley Ferrell, B. F Sisk - Arithmetic - 1901 - 436 pages
...-ab + 6 2 a 2 — ab a 2 -2a6+6 2 , result. PRINCIPLE: 1. The square of the difference of two numbers **is equal to the square of the first minus twice the product of the first** times the second plus the square of the second. (Commit.) NOTE. — Compare this principle with the... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...THEOREM V. — The square of the sum of two quantities is the square of the first plus twice, tlie **product of the first by the second plus the square of the second.** By multiplying a + I by itself it is found that (a + I,)* = (a+ I,) (a + 1) = a-+ 2 ab + ¿a. Thus... | |
| Edward Brooks - Algebra - 1901 - 248 pages
...+ 6s)'. _ 21. (a" + ' + &n + 1)'. THEOREM II. 27ie sgwwe of the difference of two quantities equals **the square of the first, minus twice the product of the first** and second, plug the square of tlte second. , ,. OPERATION. Let a — o represent the difference of... | |
| International Correspondence Schools - Arithmetic - 1902 - 794 pages
...of the first, plus twice tke product of the first and the second, plus the square of tke second. The **square of the difference of two quantities is equal...of the first, minus twice the product of the first** and the second, plus the square of the second. T/tc product of the sum and difference of two quantities... | |
| Louis Parker Jocelyn - Algebra - 1902 - 458 pages
...(fQ-fA)2. 4. («A -I)2. 9. j(a + b)-c}2. 5. (2a2-3b. 10. а-Ь-с166. Theorem 3, The product of the sum and **difference of two quantities is equal to the square of the first minus** the square of the second. Dem. Let x + a be the sum and x — a the difference of two quantities, then... | |
| George Edward Atwood - Arithmetic - 1902 - 170 pages
...multiplication to be a2 — 2 a6 + 62. PRINCIPLE. — The square of the difference of two quantities is **the square of the first, minus twice the product of the first** and second, plus the square of the second. Since a represents any quantity and 6 any less quantity,... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 428 pages
...second. In the second case we have (a — б) = a' — 2ab + b', which relation may be stated thus : 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. In the third case we have (a -f- 6) (a — b) = a' — b», or... | |
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