 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 the second.  A Treatise on Algebra - Pągina 32per Elias Loomis - 1846 - 346 pąginesVisualització completa - Sobre aquest llibre
 | Edward Olney - 1878 - 360 pągines
...square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. — The square of the difference of two quantities is...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... | |
 | James Bates Thomson - 1878 - 322 pągines
...is a-' + 2ab + V. a + rtO Hence, the + ab + b3 FORMULA, (a+b)9 = <P+2db-\-&. Ans. a' + tab + b9 102. The square of the difference of two quantities is equal to the square of the first, minus twice their product, plus the square of the second. 2. Let it be required to multiply a — b by a — b.... | |
 | Edward Olney - 1878 - 516 pągines
...+ 3a3£s. jfesutt, 25a - 4 + 30o6» + 9a<*«. 5. Square ^16 - * + fa? -' 6 - '. 95. THEO. — Tlve square of the difference of two quantities is equal to the square of tlie first, minus twice the product of the first by tlie second, plus the square of the second. DEM.... | |
 | John Stewart (of Hastings.) - 1878 - 128 pągines
...+ I. 21. *+/-. 22. 2* + £y. 23. 6*2 4- jy. 24. 5a + 5æ ii. (a — b} (a — b) = a2 + b" — 2ab. The Square of the difference of two quantities is equal to the sum of the squares of each of the quantities diminished by twice the product. ю0. 2т — б«2. Я5.... | |
 | Benjamin Greenleaf - 1879 - 350 pągines
...a4 62. 4. Square a3 æ,2 -f 3 a1 V' c4. Ans. an64 -j- 6 a5 65 с4 -f- 9 a4 i3 с3. THEOREM II. 77, The square of the difference of two quantities is...of the first, minus twice the product of the first by the second, plus the square of the second. For, let a represent one of the quantities, and b the... | |
 | Shelton Palmer Sanford - 1879 - 348 pągines
...point, and, multiply ing a2+2a6 + 62 by (a -H6), he will have the expansion required* THEOKEM H. 68. The square of the DIFFERENCE of two quantities is...of the first, minus twice the product of the first by the second, plus the square of the second. Ex. 1. Find the square of (a — 6). Analysis. Here a... | |
 | Benjamin Greenleaf - 1879 - 322 pągines
...+ 4 a4 42. 4. Square a2 42 + 3 a2 fr3 c4. Ans. a6 44 + 6 a3 V c4 -f- 9 a4i"c3. THEOREM II. 77i ^A* square of the difference of two quantities is equal...of the first, minus twice the product of the first by the second, plus the square of the second. For, let a represent one of the quantities, and b the... | |
 | Webster Wells - 1879 - 468 pągines
...second. 105. "We may also show, by multiplication, that (a — 6)2 = a2 — 2 ab + b2. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice thg product of the first by the second, plus the square of the second. 106. Again, by multiplication,... | |
 | Benjamin Greenleaf - 1879 - 350 pągines
...6 a5 V c4 + 9 a4 iв c8. THEOREM II. 11, The square of the difference of two quantities ii equal tc the square of the first, minus twice the product of the first by the second, plus the square of the second. For, let a represent one of the quantities, and b the... | |
 | Thomas K. Brown - 1879 - 292 pągines
...in which we cannot tell at once what the root is. Theorems I. and II. are, The square of the gum or difference of two quantities is equal to the square of the first, =t twice the product of the first and second, + the square of the second. Therefore we first take the... | |
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