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" The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second. "
Higher Algebra - Σελίδα 100
των George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 615 σελίδες
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A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - 1730 - 702 σελίδες
...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...

A Treatise on Algebra: Arithmetical algebra

George Peacock - 1842 - 426 σελίδες
...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=...

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 348 σελίδες
...(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 —...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 344 σελίδες
...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...

An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1849 - 346 σελίδες
...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...

An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1850 - 364 σελίδες
...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...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 σελίδες
...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...

An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1851 - 356 σελίδες
...+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...

A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 σελίδες
...numbers is 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...

A Compendious Course of Mathematics, theoretical and practical

John Radford Young - 1855 - 218 σελίδες
...the sum of two numbers is equal to the squares of the numbers themselves plus twice their product. 2. The square of the difference of two numbers is equal to the squares of the numbers themselves minus twice their product. * In examples like (6), (7), and (8),...




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