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" The product of the sum and difference of two numbers is equal to the difference of their squares. "
Iron: An Illustrated Weekly Journal for Iron and Steel Manufacturers ... - Pàgina 98
editat per - 1828
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School Science and Mathematics, Volum 7

1907 - 880 pàgines
...multiplication and division should be presented to the class exactly as they appear in the type form — eg — the product of the sum and difference of two numbers is equal to the square of the first minus the square of the second — not the difference of their squares. When the...
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Elementary Algebra

Arthur Schultze - 1905 - 396 pàgines
...product of the first and the second, plus the square of the second. III. The product of the sum and the difference of two numbers is equal to the difference of their squares. The student should note that the second type (II) is only a special case of the first (I). Ex. (4 x'+...
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Advanced Algebra

Arthur Schultze - 1906 - 584 pàgines
...product of the first and the second, plus the square of the second. III. The product of the sum and the difference of two numbers is equal to the difference of their squares. The student should note that the second type (II) is only a special case of the first (I). Ex. (4 x3+...
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Advanced Algebra

Arthur Schultze - 1906 - 618 pàgines
...product of the first and the second, plus the square of the second. III. Tlie product of the sum and the difference of two numbers is equal to the difference of their squares. The student should note that the second type (II) is only a special case of the first (I). Ex. (4 xs...
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Standard Algebra

William James Milne - 1908 - 476 pàgines
...+ b their sum, and a — b their difference. Show by actual multiplication that 114. PRINCIPLE. — The product of the sum and difference of two numbers is equal to the difference of their squares. EXERCISES 115. Expand by inspection, and test each result : 1. (x + y)(xy). 11. (a6 + 5)(a6-5). 2....
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Secondary-school Mathematics, Llibre 1

Robert Louis Short, William Harris Elson - 1910 - 200 pàgines
...multiplication : a + b 0-6 - ab - b2 a? -b2 That is, (a + ft)(a - &) = a2 - &2. Or, stated in words : The product of the sum and difference of two numbers is equal to the difference of their squares. Then to multiply the sum of two numbers, as 3 x + 5, by the difference of the same two numbers, 3 x...
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Elements of Algebra

Arthur Schultze - 1918 - 336 pàgines
...product of the first and the second, plus the, square of the second. III. The product of the sum and the difference of two numbers is equal to the difference of their squares. The student should note that the second type (II) is only a special case of the first (I). Ex. (4 ¡e8...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 pàgines
...numbers is equal to the sum of their squares plus twice their product. The product of the sum and the difference of two numbers is equal to the difference of their squares. GEOMETRIC THEOREMS. The square on the sum of two lines is equal to the sum of the squares on the lines...
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First Year Algebra

William James Milne - 1911 - 360 pàgines
...difference of two numbers obtained from the numbers ? 3. What sign connects the terms ? 94. PRINCIPLE. — The product of the sum and difference of two numbers is equal to the difference of their squares. EXERCISES 95. Expand by inspection, and test each result : 1. (x + y)(xy). 16. (2x + 3y)(2x-3y). 2....
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Kimball's Commercial Arithmetic: Prepared for Use in Normal, Commercial and ...

Gustavus Sylvester Kimball - 1911 - 444 pàgines
...case involve the principles 32= o, of the well-known theorem that, "The product of the sum and 515~ difference of two numbers is equal to the difference of their squares. " Half the sum of 22 and 28 is 25. Square 25 and we have 625. The difference between 28 and 22 is 6,...
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