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" That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. "
Elementary Algebra: Embracing the First Principles of the Science - Page 25
by Charles Davies - 1842 - 258 pages
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Grammar School Algebra

Arthur William Potter - Algebra - 1904 - 182 pages
...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 you cannot do this readily, work the examples...
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Advanced Course in Algebra

Webster Wells - Algebra - 1904 - 642 pages
...numbers be divided by the sum ^.of the n umbers, the quotient is the square of the rst number, minus the product of the first by the second, plus the square of the second number. If /he difference of the cubes of two numbers be divided by the difference of the numbers,...
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First Year in Algebra

Frederick Howland Somerville - Algebra - 1905 - 220 pages
...multiplications we make the following conclusions : From I. : 69. The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the second, plus the square of the second. The square of the sum of two quantities The square of the difference of two quantities The product...
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 570 pages
...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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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 484 pages
...numbers be divided by the difference of the numbers, the quotient is the square of the first number, plus the product of the first by the second, plus the square of the second : i. Divide 1 + 8a3 by 1 + 2 a. By 96, 8 a3 is the cube of 2 a ; then, by the first rule, 2. Divide...
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An Arithmetic for Upper Grades

John Henry Walsh - Arithmetic - 1908 - 314 pages
...+ 5) = 20 2 + twice (20 x 5) + 5' 2 ; or 400+ 200+ 25, or 625. The square of the sum of two numbers is equal to the square of the first, plus twice the...first by the second, plus the square of the second. 394. Oral Exercises. Give answers: 3. 31* 5. 35 2 7. 3.5 9. 4. 41 2 6. 45 2 8. 4.5* 10. (51) 2 11....
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New Plane Geometry

Webster Wells - Geometry - 1908 - 329 pages
...and give a geometrical proof of the algebraic theorem : The square of the sum of two numbers equals the square of the first, plus twice the product of...first by the second, plus the square of the second. AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one...
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Elementary Algebra

Frederick Howland Somerville - Algebra - 1908 - 428 pages
...state, from (I), (II), and (III), respectively : 111. The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the second, plus the square of the second. 112. The square of the difference of two quantities equals the square of the first, minus twice the...
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A First Course in Algebra ; A Second Course in Algebra

Webster Wells - Algebra - 1908 - 470 pages
...2-2a6+b2. (2) That is, the square of the difference of two numbers equals the 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 between a and 6 " to denote...
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Practical Elementary Algebra

Joseph Victor Collins - Algebra - 1908 - 442 pages
...have the square of the difference of two quantities (5 and Vx) equals the square of the first, minus twice the product of the first by the second, plus the square of the second. What axiom is used?) 10 Vx = 20. (The radical quantity put by itself on one side. Ax. ?) Vx = 2. (Dividing...
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