 | 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 as the other is... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...— 168a36s + 144a26e. Also, (4aW- 7c2,P)2 = THEOREM III. The product of the sum of two 'quantities multiplied by their difference, is equal to the difference of their squares. Let the quantities be denoted by a and b. Then, a + 6 = their sum, and a — b = their difference.... | |
 | 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, as... | |
 | 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 as the other... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...terms _ t/6 by \fb, the denominator will become rational. Thus, b Since the sum of two quantities, multiplied by their difference, is equal to the difference of their squares; if the fraction is of the form - — , and we multiply both terms by 6 — 1/c, the denominator will... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...equal to Z 4O. Let it be required to multiply a+b by a—b. We have Hence, the sum of two quantities, multiplied by their difference, is equal to the difference of their squares 1. Multiply 2c+b by 2c— b. We have (2c + 4)x(2c— 4) = 4c2— 42. 2. Multiply 9ac+34c by 9<zc—... | |
 | Daniel Adams - Arithmetic - 1849 - 142 pages
...subtracting the area of the less circle from the area of the greater. The product of the sum of the diameters multiplied by their difference, is equal to the difference of their squares. (See IT 42.) EXAMPLES FOR PRACTICE. 1. Within a circular park 15 rods in diameter, is a circular pond... | |
 | Richard Dawes - Teaching - 1849 - 228 pages
...For instance, that (1.) (a + li) (a — b}=.a- — i': that this means that the sum of two quantities multiplied by their difference is equal to the difference of their squares. (2.) That (a + J)' = a5 + 2a J + *', or that the square of the sum of two thoroughly to understand,... | |
 | Daniel Adams - Measurement - 1850 - 144 pages
...subtracting the area of the less circle from the area of the greater. The product of the sum of the diameters multiplied by their difference, is equal to the difference of their squares. (See 1T 42.) EXAMPLES FOR. PRACTICE, 1. "Within a circular park 15 rods in diameter, is a circular... | |
 | 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 as the other is... | |
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The sum of two numbers multiplied by their difference, is equal to the difference of their squares. 
