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" The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. "
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 54
by Benjamin Greenleaf - 1879 - 309 pages
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Grammar-school Arithmetic: Including Algebraic Equations and Simple ...

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* —...
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A Treatise on Chemistry and Chemical Analysis: Arithmetic, elementary ...

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...
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Grammar School Algebra

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...
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Ferrell and Sisk's Advanced Arithmetic

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...
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College Algebra

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...
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The Normal Elementary Algebra, Part 1

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...
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A Textbook on Metallurgy of Gold, Silver, Copper, Lead, and Zinc, Volume 1

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...
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An Algebra for High Schools and Academies

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...
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Complete Graded Arithmetic: Third grade-[eighth grade], Volume 8

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,...
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Mathematics

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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