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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. "
A School Algebra: Designed for Use in High Schools and Academies - Page 80
by Emerson Elbridge White - 1896 - 394 pages
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Complete Graded Arithmetic: Third grade-[eighth grade], Volume 8

George Edward Atwood - Arithmetic - 1902 - 168 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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A Textbook on Metallurgy of Gold, Silver, Copper, Lead, and Zinc, Volume 1

International Correspondence Schools - Arithmetic - 1902 - 794 pages
...the second, plus the square of tke second. The square of the difference of two quantities is equal to the square 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 - 460 pages
...10. S2(e+/)+.3(i/ + /t)S2. 165. Theorem 2. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Dem. Let x — a be the difference of two quantities, then...
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Advanced Course in Algebra

Webster Wells - Algebra - 1904 - 642 pages
...first by the second, plug the square of the second. The square of the difference of two numbers equals the square of the first, minus twice the product of the first bij the second, jilits the square of the second. In the remainder of the book, we shall, for the sake...
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Grammar School Algebra

Arthur William Potter - Algebra - 1904 - 182 pages
...Deduce the following principle : PRINCIPLE. 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. Write out the following results without multiplying. If...
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Elements of Algebra for Beginners

George Washington Hull - Algebra - 1904 - 172 pages
...HULL'S EL. OF ALG. — 4 49 PRINCIPLE II. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus, by multiplication, а -Ь а —b а2— ab Also,...
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Elementary Algebra

Arthur Schultze - 1905 - 396 pages
...second, plus the square of the second. II. The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. III. The product of the sum and the difference of two...
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First Year in Algebra

Frederick Howland Somerville - Algebra - 1905 - 222 pages
...ai — ai + 62 a*+ a5 - ab - b1 From II. : 70. The square of the difference of two quantities equals the square of the first, minus twice the product of the first Ъy the second, plus the square of the second. From III. : 71. The product of the sum and difference...
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Advanced Algebra

Arthur Schultze - Algebra - 1905 - 674 pages
...second, plus the square of the second. II. The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. III. The product of the sum and difference of two numbers...
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Practical Pattern Making

Frank Wilson Barrows - Patternmaking - 1906 - 344 pages
...THE SUM. THE square of the sum of two quantities is equal to the square of the first quantity, plus twice the product of the first multiplied by the second, plus the square of the second. In what follows I have endeavored to show how this wellknown formula may be applied in squaring mixed...
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