 ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.  The Elements of Algebra - Σελίδα 76των Elias Loomis - 1856 - 268 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | William James Milne - 1881 - 360 σελίδες
...the quantities ? 2. What sign connects the terms? 79. PRINCIPLE. — The product of the sum and the difference of two quantities is equal to the difference of their squares. 26. (r + *)(r—s). 27. (m -fn) (m — n). 28. (c + a)(c — a). 29. (*-!)(*+!). EXAMPLES. 31. 32.... | |
 | Edward Olney - 1882 - 358 σελίδες
...square of the first, minus twice the product of the two, plus the square of the second, 87. THEO. — The product of the sum and difference of two quantities is equal to the difference of their squares. EXAMPLES. 1. Multiply together 3ax, — Загхг, <íby, — у3, and 2хгуг. 2. Multiply together... | |
 | Edwin Pliny Seaver, George Augustus Walton - 1881 - 304 σελίδες
...Two Quantities. 133. We learn by multiplication that which means that the product of the sum and the difference of two quantities is equal to the difference of their squares. Reversing this formula, we have 134. Exercises. Separate into two factors 78. a 2 -af. 88. 47, 4 -1GPm... | |
 | Popular educator - 1884 - 910 σελίδες
...— = aa aaa aaaaa If a + Ъ be multiplied into о — b, the product will bo a*— Tf ; that is — The product of the sum and difference of two quantities is equal to the difference of their squares. This is an instance of the facility with which general truths are demonstrated in algebra. If the sum... | |
 | Webster Wells - 1885 - 324 σελίδες
...plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b-. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares. EXAMPLES. 96. 1. Square 3а +2bc. The square of the first term is 9 a2, twice the product of the terms... | |
 | Webster Wells - 1885 - 370 σελίδες
...plus the square of the second. In the third case, we have (a -\-b)(a — b) = a2 — 62. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares. EXAMPLES. 96. 1 . Square 3 a + 2 be. The square of the first term is 9 a2, twice the product of the... | |
 | Webster Wells - 1885 - 368 σελίδες
...plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares. EXAMPLES. 96. 1. Square 3 a + 2 be. The square of the first term is 9 a2, twice the product of the... | |
 | Elias Loomis - 1886 - 396 σελίδες
...distinct theorems by one formula. 69. The product of the sum and difference of two numbers is equal to Hie difference of their squares. Thus, if we multiply a + b by a — b -ab-bz are obtain the product a2 — b2. EXAMPLES. 1. (3a+26) (3a-26) = 2. (7ab+x) (7ab-x) = 8. (8a+7bc)... | |
 | John Bernard Clarke - 1889 - 566 σελίδες
...~product is made up as stated in the proposition. — mn 4- »* m 2 — 2m» 4- " 2 71. Theorem.—The product of the sum and difference of two quantities is equal to the difference of their squares. If a and 6 represent the quantities, show by direct multiplication that (a + b) (a—6) = o« — b... | |
 | Walter William Rouse Ball - 1890 - 512 σελίδες
...product of x + a and x — a. x +a x—a We see, from this example, that the product of the sum aud the difference of two quantities is equal to the difference of their squares. Thus, 98 x 102 = (100 -2) (100 + 2) = 10000 -4 = 9996. Esc. 4. Find the product of x + a and x+b. x +a x... | |
| |
