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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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The Model Algebra: Arranged for Elementary Schools

Edward Gideon - Arithmetic - 1903 - 166 pages
...which is the difference of the two quantities, and the other is the square of the first quantity, plus the product of the first by the second, plus the square of the second quantity. EXAMPLES. 161. a3 + 6'. 171. aV + 1. 181. 8a3 - 6V. 162. ж3 + z2. 172. 1 -6V. 182. a3 +...
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Grammar School Algebra

Arthur William Potter - Algebra - 1904 - 182 pages
...set. How do the products of the two sets compare ? Deduce the following principle : PRINCIPLE. The square of the difference of two quantities is equal...first by the second plus the square of the second. Write out the following results without multiplying. If you cannot do this readily, work the examples...
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Elements of Algebra for Beginners

George Washington Hull - Algebra - 1904 - 172 pages
...у)2. 5. (b + cf. 2. (a + nf. 4. (y + bf. 6. (m + n)2. HULL'S EL. OF ALG. — 4 49 PRINCIPLE II. 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, by multiplication, а -Ь а —b а2— ab Also,...
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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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Advanced Algebra

Arthur Schultze - Algebra - 1905 - 694 pages
...the first and 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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An Algebra for Grammar Schools

Charles Austin Hobbs - Algebra - 1905 - 158 pages
...ab + b2 II. Find the square of a — b. a — b a — b a3 -ab -ab + 'b2 a2 - 2 ab + b2 That is, the square of the difference of two quantities is equal to the square of the first quantity, minus twice the product of the two, plus the square of the second. III. Find the product...
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Elementary Algebra

Arthur Schultze - Algebra - 1905 - 396 pages
...first and the second, plus the square of the second. S- П. 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...
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First Year in Algebra

Frederick Howland Somerville - Algebra - 1905 - 220 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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Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - Arithmetic - 1906 - 598 pages
...of the first, flus twice the 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. EXAMPLE 1.— What is the value of (ив* + 3')s ?...
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 570 pages
...Whence, (ab-) = at-2ab + b. (2) That is, the square of the difference of two numbers equals tht> square of the first, minus twice the product of the...first by the second, plus the square of the second. In the remainder of the work we shall use the expression "the difference of a and 6" to denote the...
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