... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square... Elementary Algebra - Page 87by Frederick Howland Somerville - 1908 - 407 pagesFull view - About this book
| Benjamin Greenleaf - Algebra - 1875 - 338 pages
...a"64+6a5J5c4 + 9a4isc». THEOREM II. IT, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by th» second, plus the square of the second. For, let a represent one of the quantities, and 6 the other... | |
| Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...b)*=(a—b)(a — b) = a*—2ab + & ; hence, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. III. (a +b)(a — b)—a*-^; hence, Tue product of the sum... | |
| William Guy Peck - Algebra - 1875 - 348 pages
...plus the square of the second. 2°. The square of the difference of any two quantities, is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. 3°. The product of the sum and difference of any two quantities,... | |
| Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...have the expansion required* THEOKEM H. 68. The square of the DIFFERENCE of two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. Ex. 1. Find the square of (a — 6). Analysis. Here a and 6 are the two quantities, and OPERATION (a... | |
| Benjamin Greenleaf - Algebra - 1879 - 350 pages
...65 с4 -f- 9 a4 i3 с3. THEOREM II. 77, The square of the difference of two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. For, let a represent one of the quantities, and b the other; then, (a — by = (a — i) X (a — b)... | |
| Benjamin Greenleaf - Algebra - 1879 - 376 pages
...as 62 + 3 a2 6s c4. Ans. THEOREM II. 77. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of tfte second. For, let a represent one of the quantities, and 6 the other; then, (a — 6)a = (a —... | |
| Benjamin Greenleaf - Algebra - 1879 - 350 pages
...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. Define a Formula. What is Theorem I. ? For, let a represent one of the quantities, and b the other;... | |
| Webster Wells - Algebra - 1879 - 468 pages
...a? + 2ab + b2. (1) The square of the sum of two quantities is equal to the square nf the first, plus twice the product of the first by the second, plus the square of the second. 105. "We may also show, by multiplication, that (a — 6)2 = a2 — 2 ab + b2. (2) That is, The square... | |
| Thomas K. Brown - Algebra - 1879 - 292 pages
...briefly expressed thus : Theorem II. — The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. 76. What is the product of a + b and a - b ? OPERATION.... | |
| Charles Scott Venable - Algebra - 1880 - 168 pages
...Zab + V. . . . (B), which expresses the Rule :—Tlie square of the difference of two quantities is the square of the first, minus twice the product of...first by the second, plus the square of the second. Ex. 1. (x - 5)" = x' - 10ж + 25. Ex. 2. (За - 2o)" = (За)' - 2 x За х 2o + (2o)' = 9a' - 12ao... | |
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