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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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First Book in Algebra

Wallace Clarke Boyden - Algebra - 1894 - 186 pages
...the terms of the dividend. 2. That the quotient is the square of the first term of the divisor, plus the product of the first by the second, plus the square of the second. Write two factors, one of which is the difference of the cube roots of the terms/ and the other the...
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Elements of Algebra: A Course for Grammar Schools and Beginners in Public ...

William James Milne - Algebra - 1894 - 214 pages
...obtained ? The third term ? 2. What signs connect the terms of the power ? 61. PRINCIPLE. The sqnare nf 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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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...product of the first by the second, plus the square of the second. II. (а-b)2 = а2That is : 63. The square of the difference of two quantities is equal...first by the second, plus the square of the second. III. (a + b)(a - &) = a2 - V. That is : 64. The product of the sum and difference of two quantities...
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - Algebra - 1895 - 358 pages
...+ 2/3")2. 29. (А*4 5a)'. 10. (2c + Sei).1 63 20. (2x ! + Зж3)280. (m* + *)'. 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, a — b a — b a1- ab -ab + V...
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Higher Arithmetic: Includes Easy Algebraic Equations and Simple Geometrical ...

John Henry Walsh - Arithmetic - 1895 - 400 pages
...square of the first + twice the product of the first and the second -f- 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 + the square of the second. (a + i)' = a' + 2 ab...
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Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...Since the square of a number divided into any two parts is equal to the square of the first part, plus twice the product of the first by the second, plus the square of the second part ( 734), having found the square of the first part, which is 4iH)0, the remainder 517 must be...
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Grammar-school Arithmetic: Including Easy Algebraic Equations and Simple ...

John Henry Walsh - Arithmetic - 1895 - 478 pages
...square of the first -f- 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 + the square of the second. (m — n)1 = m2 — 2...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...all ? PRINCIPLE 51. — The square of the sum of two lines is equal to the square of the first plus twice the product of the first by the second plus the square of the second. 29. Draw the square of the sum of two lines, one 5 inches, the other 3 inches, and show the truth of...
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Grammar-school Algebra: Seventy-five Suggestive Lessons for Beginners

William Milford Giffin - Algebra - 1895 - 136 pages
...354. 355. 357. 358. 356. (2* -20* 360. 359. (3 a - 3 *)' 360a. Copy or read and fill the blanks: The square of the difference of two quantities is equal to the square of the minus twice the product of the by the plus the square of the MULTIPLICATION. LESSON XXXVI. 361. Find...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 422 pages
...represent any two numbers, it follows from (2) that The square of the difference of two numbers is the square of the first, minus twice the product of the first multiplied by the second, plus the square of the second. Write by Formula (2) the square of 10. ж...
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