 | Algebra - 1838 - 372 pages
...difference, a — b, we have (a-by=(ab) (ab)=a?-2ab+t2 : That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the frst by the second, plus the square of the second. Thus, fTVi2— 12ai3)2=49a4i4— 168a3i5+144a2i6.... | |
 | Charles Davies - Algebra - 1840 - 264 pages
...39. To form the square of a difference a— b, we have That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of tht frst by the second, plus the square of the second. 1 Form the square of 2<z— b. We have (2a —... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...36a862 + 108a5ft* + 81a2ft6 ; also, (8a3 + 7acb)2-. THEOREM II. The square of the difference between two quantities is equal to the square of the first, minus twice the product of the first by the tecond, plus the square of the second. Let a represent one of the quantities and b the other : then... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...is to call the square of o + b equal to a2 + 62. THEOREM II. (61.) 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. Thus if we multiply a — b By a — b a2—ab — ab We... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...is to call the square of а + b equal to a2 + 62. THEOREM II. (61.) 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. Thus if we multiply a — b By a — b We obtain the product... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...39. To form the square of a difference a — b, we have That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the Jirst by the second, plus the square of the second. 1. Form the square of 2a — b. We have 2. Form... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...a—b is the difference of tho quantities a and b ; hence 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 by the tecond, plus the sqitare of the second. EXAMPLES. 1. (5-4)*=25-40+16=l. 2. (2a— 6)2=4a2 3. (3*—... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...beginners is to call the square of a+b equal to a'+b'. THEOREM II. (61.) 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. Thus, if we multiply a — b By a- b a'- ab - ab+b' lVe... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...beginners is to call the square of a+b equal to a'+b\ THEOREM II. (66.) 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. Thus, if we multiply a —b by a —b a'- ab - ab+b' we... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...multiplication indicated, (a — b)2 = o2 - 2ab + b2 ; that is, The square of the difference between two quantities is equal to the square of the first, minus twice the product of the first by Iht second, plus the square of the second. To apply this to an example, we have (7a2J2 _ 12a63)2 =... | |
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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 and second, plus the square of the second. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'. 
