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" The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 24
por Robert Gibson - 1832 - 348 páginas
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A first book of algebra, including the binomial theorem

William Rossiter - 1867
...64. Or, substituting general symbols for particular numbers : Or, expressing the theorem in words, the square of the sum of two numbers is equal to the sum of the squares of the same numbers, together with twice their product. Bearing this in mind, we...
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An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 261 páginas
...difference of the squares of two numbers is equal to the product of their sum and difference. and. The square of the sum of two numbers is equal to the sum of the squares together with twice the product. 3rd. The square of the difference of two numbers...
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A TREATISE ON ALGEBRA

ELIAS LOOMIS, L.L.D. - 1868
...19(6— c)— 6. Expand and reduce 66. The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first ly the second, plus the square jof the second....
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 16 páginas
...difference of the squares of two numbers is equal to the product of their sum and difference. znd. The square of the sum of two numbers is equal to the sum of the squares together with twice the product. 3rd. The square of the difference of two numbers...
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Introduction to the National Arithmetic on the Inductive System: Combining ...

Benjamin Greenleaf - 1871 - 330 páginas
...the parts separately hy the width ? Fig. 2. 25 feet. V 20 Ew* r 6 \JC b sir D F 20 20 20 5 400 100 the square of the sum of two numbers is equal to the squares of the numbers, pins twice their product. Thus, 25 being equal to 20-1-5, its square is equal to the squares of 20...
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The Art of Computation: Designed to Teach Practical Methods of Reckoning ...

David White Goodrich - 1873 - 206 páginas
...the squares of 20, 30, 40, 50, etc., are 400, 900, 1600, 2500, etc. Now since -(a+b)*=a'+2ab.+ b', the square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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A Treatise on Algebra

Elias Loomis - 1873 - 360 páginas
...reduce 53(a-6+c)-27(a+6-c)-26(a-6-c). 66. The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1874 - 330 páginas
...multiplying the parts separately by the width '! Fig. 2. 25 feet. !rj| GA D 20 F 2(J ' 5 20 400 100 the square of the sum of two numbers is equal to the squares of the numbers, plus twice their product. Thus, 25 being equal to 20 -)- 5, its Bquare is equal to the squares of 20...
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Hermathena, Volumen1

1874
...numerically by the product of the sides, we may at once deduce from the intuition of a figure in space that the square of the sum of two numbers is equal to the sum of their squures, together with twice their product and other theorems of a similar character ?...
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Journal of the Institute of Actuaries and Assurance Magazine, Volumen18

1875
...complicated formula, such as (a + A) 2 = a 2 + 2«6-f 6 2 , which would be thus stated in words: " The square of the sum of two numbers is equal to the sum of their squares increased by twice the product of the numbers", the advantage is more decidedly...
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