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" ... the product multiply the number of tens by one more than itself for the hundreds, and place the product of the units at the right of this product, for the tens and units. Thus... "
Elements of Algebra - Page 5
by Bourdon (M., Louis Pierre Marie) - 1831 - 304 pages
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...4X5=20, and 43X47=2021; 42X48=2016; 44 X 46=2024 ; 7 X 8=56, and 72 X 78=5616 ; 71 X 79=5609, &c. (12.) The sum of two numbers multiplied by their difference, is equal to the difference of their squares. Hence we may readily find the product of two numbers, one of which is as much above...
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The Prussian Calculator: By which All Business Calculations are Performed by ...

Isaac A. Clark - Arithmetic - 1846 - 204 pages
...itself for the hundreds, and place the product of the units at the right, for tens and units. 1 1 . The sum of two numbers multiplied by their difference, is equal to the difference of their square. Hence, we may readily find the product of two numbers, the one of which is as much above,...
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The Elements of Arithmetic...: In which Decimal and Integral ..., Part 2

Pliny Earle Chase - Arithmetic - 1848 - 244 pages
...4X5=20, and 43X47=2021; 42X48=2016; 44 X 46=2024 ; 7 X 8=56, and 72 X 78=5616 ; 71 X 79=5609, &c. (12.) The sum of two numbers multiplied by their difference, is equal to the difference of their squares. Hence we may readily find the product of two numberis, one of which is as much, above...
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Arithmetic, Practically Applied ...

Horace Mann - 1851 - 384 pages
...X47 = 2021; 42 X 48 = 2016; 44X46 = 2024 ; 7 X 8 = 56, and 72 X 78 = 5616 ; 71 X 79 = 5609, &c. (12.) The sum of two numbers multiplied by their difference, is equal to the difference of their squares. Hence we may readily find the product of two numbers, one of which is as much above...
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A Compendious Course of Mathematics, theoretical and practical

John Radford Young - 1855 - 218 pages
...2ax— 2, and then multiplied by — 4a'6x3. In like manner, the second factor in (7) is 7a'*-4. 3. The sum of two numbers multiplied by their difference is equal to the difference of their squares. Thus, take the two numbers 7 and 3 ; their sum is 10, and 102=72 + 32 + 21 x 2 = 100....
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The Elements of Algebra: Designed for the Use of Common Schools: Also ...

George Roberts Perkins - Algebra - 1856 - 276 pages
...difference of two numbers, is equa 4 , to the sum of their squares diminished by twice their product. III. The sum of two numbers multiplied by their difference, is equal to the difference of their squares. Under Chapter VII. we have derived many interesting propositions, by translating algebraic...
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Arithmetic, Practically Applied, for Advanced Pupils, and for Private ...

Horace Mann, Pliny Earle Chase - Arithmetic - 1857 - 388 pages
...47 = 2021;' 42 X 48 = 2016; 44x46 = 2024 ; 7X8 = 56, and 72 X 78 = 5616 ; 71 X 79 = 5609, &c. (12.) The sum of two numbers multiplied by their difference, is equal to the difference of their squares. Hence we may readily find the product of two numbers, one of which is as much above...
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Arithmetic: Practically Applied, for Advanced Pupils, and for Private ...

Horace Mann, Pliny Earle Chase - Arithmetic - 1857 - 398 pages
...2021 ; 42 X 48 = 2016 ; 44 X 46 = 2024 ; 7 X 8 = 56, and 72 X 78 = 5616 ; 71 X 79 = 5609, &c. (12.) The sum of two numbers multiplied by their difference, is equal to the difference of their squares. Hence we may readily find the product of two numbers, one of which is as much above...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...VI089 = 3 x 11 = 33. Find, by factoring, the square roots of : 23. 2025; 17.64; 2.0164; 533.61; 204.49. The sum of two numbers multiplied by their difference is equal to the difference of their squares. Thus, the sum of 3 and 5 is 8, their difference is 2, and 2x8 = 16; and the difference...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...V1089 = 3 x 11 = 33. Find, by factoring, the square roots of : 23. 2025; 17.64; 2.0164; 533.61; 204.49. The sum of two numbers multiplied by their difference is equal to the difference of their squares. Thus, the sum of 3 and 5 is 8, their difference is 2, and 2 x 8 = 16; and the difference...
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