| Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...operations, the results which follow: I. (a+b)'=(a+u) (a+b')=a>+2ab+bt Or, expressing the result in words, **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the first and second, plus the square of the second.... | |
| Benjamin Greenleaf - 1863 - 338 pages
...following theorems give rise to formulas, useful in abridging algebraic operations. THEOREM I. 76 ( **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Education - 1866 - 538 pages
...li^ht them on their way." After careful thought and research, we come fully to comprehend the truth **that •' the square of the sum of two quantities is equal to the** square of the first, plus twice the product of the two, plus the square of the second" ; and when the... | |
| Joseph Ray - Algebra - 1866 - 250 pages
...a2+2a6-j-62. Thus: a+6 a+6 a2+2a6-|-62 But a+6 is the sum of the quantities, a and 6. Hence, Theorem I. — **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| William Frothingham Bradbury - Algebra - 1868 - 270 pages
...x" -j- 3 y and difference 5 x2 — 3y. 6. Sum 2 a — 8b and difference 10 a + 1* b. THEOREM II. 58. **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the two, plus the square of the second. Let a and 6... | |
| Robert Wallace - 1870 - 164 pages
...following theorem for finding the square of the sum of a,ny two quantities is deduced. THEOREM I. — **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| James Haddon - Algebra - 1871 - 244 pages
...b) = a- — 2a¿ + Ir ; and (а + Ъ)(а — Ь) =á* — b'-. From this example it appears that 1. **The square of the sum of two quantities is equal to the** и«.'» of their squares, together with twice their product. 2. The square of the difference of two... | |
| Joseph Ray - Algebra - 1866 - 420 pages
...truths. The following theorems serve to show some of its most simple applications. 78. Theorem I. — **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...each spout run, the time occupied by both being 10 minutes ? (Articles 103-209.) 398. — Ex. 1. Show **that the square of the sum of two quantities is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Edward Olney - Algebra - 1873 - 354 pages
...partial products as they stand, even without first adding the products by a and ft. QBD 85. THEO. — **The square of the sum of two quantities is equal to the** square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. —... | |
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