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" Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. "
Gradations in Algebra in which the First Principles of Analysis are ... - Página 121
por Richard W. Green - 1839 - 148 páginas
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A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - 1730 - 702 páginas
...one of them • and the Product of thé other into the Sum of this other and double the former. Alfo the Square of the Difference of two Numbers is equal to the Difference of the Square of one of them, and the Product of the other into, the Difference of this...
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A Treatise on Algebra: Arithmetical algebra

George Peacock - 1842 - 426 páginas
...whatsoever. The square 64. To form the square of a - b. ofa-b. a - b a -ft a8- ah - ab + b* = (a Or the square of the difference of two numbers is equal to the excess of the sum of the squares of those numbers above twice their product. Thus, ( 5-S)* = 2* = 4=...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1849 - 346 páginas
...482=(40+8)2=402+2 x 40.8+82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second. If we wish...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 348 páginas
...(a+(— J)) 3= (a— b) 2= a2+2a(— J)+(— b) 2 —a2—Zab +fi3 [§ 11. N. 2.]. Hence, THEOR. II. The square of the difference of two numbers is equal to the sum of their squares, MINUS twice their product. See Geom. § 183. Cor. vu. Multiply a — b by a —...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 344 páginas
...6 + 8, is equal to 6 2 + 2x 6.8 + S 2 , which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second. If we wish...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 páginas
...as 6 + 8, is equal to 6" + 2x 6.8 + 83, which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second' If we wish...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1850 - 364 páginas
...482=(40+8)2=402+2x40.8+82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square 'of the first number, plus twice the product of the first number into the second, plus the square of the second. If we wish...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1851 - 356 páginas
...+2 x 40.8+8 2 = 1600+640+64. From the above, we draw the following property: The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second. If we wish...
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 páginas
...equal to the sum of their squares, plus twice their product. III. (a— b)2=ai— Zab + b2 ; that is, The square of the difference of two numbers is equal to the sum of their squares, minus twice their product. IV. (a+b)2— (a — 6)^=4aJ ; that is, The square...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1855 - 388 páginas
...482=(40+8)2=403+2x40.8 + 82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the teeond. If we wish...
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