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

George Roberts Perkins - 1851 - 347 páginas
...9. 48 2 =(40+8} 2 =40 2 +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...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - 1853
...1600+400+25=2025 40a=1600 2(40x5)=400 5a=25 1600+400+25=2025 284. Prom the preceding illustration it is evident that the square of the sum of two numbers is equal to the square of the two numbers, plus twice their product, or to the square of the tens, plus the square...
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854
...difference of two numbers is equal to the difference of their squares. II. (a + b}*=a? + 2ab + b2 ; that is, The square of the sum of two numbers is equal to the sum of their squares, plus twice their product. III. (a— b)2=ai— Zab + b2 ; that is, The square...
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A compendious course of mathematics, theoretical and practical

John Radford Young - 1855
...a +6 a —6 a'— aft a +6 a -6 (a + b)(ab) -ab-V ' -ft' From these three results, we learn that 1. The square of 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...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1855 - 347 páginas
...=:902+2x90.3+32=8100+540+ 9. 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...
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - 1857 - 220 páginas
...by their difference is equal to the difference of their squares. (2.) That (a + 6)2 = aa+2aJ+62, or that the square of the sum of two numbers is equal to the sum of their squares, increased by twice their product. (3.) That (a— 6)2=a2 — 2o6 + 4= = a" +...
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1858 - 324 páginas
...the additions without multiplying the parts separately by the width ? <! it D F 20 20 20 5 400 100 That 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-j- 5,ita square is equal to the squares of 20...
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Introduction to the National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1859 - 324 páginas
...additions without multiplying tho parts separately by the width ? ET*f G*t D F 8 20 20 # 20 5 r 400 100 That 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 square is equal to the squares of 20...
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Arithmetic, theoretical and practical. [With] Key

Chambers W. and R., ltd - 1859
...method becomes the continuous one prescribed in the rule, the following proposition must be premised : The square of the sum of two numbers is equal to the squares of the two numbers, together with twice their product. Take any two numbers, as 20 and 5 ; their sum is 25,...
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Higher Arithmetic : Or, The Science and Application of Numbers ..., Libro 6

James Bates Thomson - 1860 - 422 páginas
...are three figures in the given number, there must be two figures in the root; (Art. 562. Obs. 2;) but the square of the sum of two numbers, is equal to the square of the first part ad led to twice the product of the two ptirts and the square of the last part;...
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