 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...second. 17. Multiply a — b by a — b. The product is a2 — 2a6+62 ; from which we perceive, that 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. 18. Multiply a+b by a — b. The product is a2 — b2... | |
 | 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... | |
 | Admiralty - 1845 - 152 pages
...is equal to the sum of their squares, plus twice their product." From the 3rd of these we see that "The square of the difference of two quantities, is equal to the sum of their squares, minus twice their product." Multiply 2x+b Multiply bx*— 2x by 3x-7 by 6x*+7x... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...most common mistakes of beginners is to call the square of o + b equal to a2 + 62. THEOREM II. (61.) The square of the. difference of two quantities, is...first and second, plus the square of the second. Thus if we multiply a — b By a — b a2—ab — ab We obtain the product a2 — 2ab + b2 EXAMPLES. 1.... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...most common mistakes of beginners is to call the square of а + b equal to a2 + 62. THEOREM II. (61.) The square of the difference of two quantities, is...first and second, plus the square of the second. Thus if we multiply a — b By a — b We obtain the product a2 — lab + № EXAMPLES. 1. (x — y)2= 6.... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
...the sum of two numbers or quantities is equal to the square of the first of the two quantities plus twice the product of the first and second, plus the square of the second. 2. That the product of the stun and difference is equal to the difference of the squares ; and, 3.... | |
 | Charles William Hackley - Algebra - 1846 - 544 pages
...two numbers or quantities is equal to the square of the first of the two quantities plus twice tho product of the first and second, plus the square of the second. 2. That the product of the sum and difference is equal to the difference of the squares ; and, 3. That... | |
 | Charles Davies - Algebra - 1848 - 300 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 first by the second, plus the square of the second. 1. Form the square of 2a — b. We have (2<z — i)2... | |
 | 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 - 252 pages
...— ab —ab+b' a2— 2ab+b' But a — 6 is the difference of the quantities a and b; hence THEOREM II. The square of the difference of two quantities, is equal to {he square of the first, minus twice the product of the first by the second, plus the square of the... | |
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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. 
