 | 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...of the first, plus twice the product of the first by the second, plus the square of the second. NOTE . — Let the pupil apply the theorem by writing... | |
 | Education - 1866 - 538 pages
...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...square of the first, plus twice the product of the two, plus the square of the second" ; and when the tyro in Algebra jabbers off this formula, we vainly... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1866 - 546 pages
...10aV+5o«4— if by a1— Sa'x + Sox1 «. a1— CHAPTER III. THEOKEMS AND FACTORING. THEOREM I. . (1O9.) The square of the sum of two quantities is equal to the square of the fast, plus twice the product of tke first ky tlte second, plus the square of the second. DEMONSTRATION.... | |
 | Benjamin Greenleaf - 1866 - 336 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 tquare 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...square of the first, plus twice the product of the two, plus the square of the second. Let a and 6 represent the two quantities ; their sum will be a... | |
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...difference 5 x2 — 3 y. 6. Sum 2 a — 8 b and difference 10 a + 14 5. THEOREM II. 58. The square of (he 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 represent the two quantities ; their sum will be a... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first ly the second, plus the square jof the second. Thus, if we multiply a+6 by a+6 a 2 + ab ab+b* we. obtain... | |
 | 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...of the first, plus twice the product of the first by the second, plus the square of the second. EXAMPLES. 1. 2. 3. 4. 5. 0. 2oa;+4a2. Ans. Ans. Ans.... | |
 | Benjamin Greenleaf - 1870 - 334 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 firsl, plus twice the product of the first by the second, plus the square of the second. For, let a... | |
 | 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...of the first, plus twice the product of the first by the second, plus the square of the second. Let a represent one of the quantities, and ba +6 the... | |
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That is, 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. 
