 | Edward Olney - Algebra - 1877 - 466 pages
...За*Ь'-. Result, 25а - " + ЗОаб» + б. Square $aö-« + $a:-'b-'. ßesult, 93, THEO. — Tlœ square of the difference of two quantities is equal to the square of the ßrst, minus twice the product oftheßrut by tlie second, plus Die square of the second. DEM. — Let... | |
 | Edward Olney - 1878 - 360 pages
...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 - Algebra - 1878 - 322 pages
...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 - Algebra - 1878 - 516 pages
...+ 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.) - Algebra - 1878 - 128 pages
...+ I. 21. *+/-. 22. 2* + £y. 23. 6*2 4- jy. 24. 5a + 5¿ 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.... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...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...product of the 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... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...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,... | |
 | Thomas K. Brown - Algebra - 1879 - 292 pages
...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... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...second. 105. We may also show, by multiplication, that (a - {,)* = a» - 2 a I + !>-. (2) That is, The square of the difference of two quantities is...product of the first by the second, plus the square of the second. 106. Again, by multiplication, we have That is, The product of the sum and difference of... | |
 | William Milford Giffin - Algebra - 1895 - 136 pages
...353. 354. 355. 357. 358. 356. (2* -20* 360. 359. (3 a - 3 *)' 360a. Copy or read and fill the blanks: The square of the difference of two quantities is equal to the square of the minus twice the product of the by the plus the square of the MULTIPLICATION. LESSON XXXVI. 361. Find... | |
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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. 
