 | William Foster - 1840 - 92 pages
...equals the square of the first, plus twice the product of the quantities, plus the square of the second. 2. The square of the difference of two quantities...square of the first, minus twice the product of the quantities, plus the square of the second. 3. The product of the sum and difference of two quantities... | |
 | William Dexter Wilson - Logic - 1856 - 456 pages
...say, for example, that the square of ^any Binomial, as # + 5, is the square of the first term*plus twice the product of the two, plus the square of the second, or <tf + %ab + 52. And this is shown to be true from the nature of the Process or Method itself, as... | |
 | William Dexter Wilson - Logic - 1856 - 464 pages
...We say, for example, that the square of any Binomial, as a + 5, is the square of the first term plus twice the product of the two, plus the square of the second, or a? + lah + b*. And this is shown to be true from the nature of the Process or Method itself, as... | |
 | Education - 1866 - 538 pages
...the truth that •' the square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second" ; and when the tyro in Algebra jabbers off this formula, we vainly fancy that it means as much to him... | |
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...3y. Ans. 4z2-f6. 3a + 6. THEOREM III. 59. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. Let a and 6 represent the two quantities, and a ]> 6 ; their difference will be a — b. PROOF. a —b... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...the square of the second. 86. THEO. — The square of the difference of two quantities is equal to the 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 is equal to the difference of... | |
 | David White Goodrich - Ready-reckoners - 1873 - 220 pages
...360+ 9= 3969, etc. Again, since (a— by=a' — 2«5-t-6", the square of the difference of two numbers equals the square of the first, minus twice the product of the first by the second, plus the square of the second. Thus 19" = 400—40+2 = 361. 95" = 10000—1000+25... | |
 | William Frothingham Bradbury - Algebra - 1877 - 302 pages
...: + 3y. Ans. 6. 3a + 6. THEOREM III. 59t The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. Let a and b represent the two quantities, and a > b ; their difference will be a — b. PROOF. a —b... | |
 | Edward Olney - Algebra - 1877 - 466 pages
...94. THEOREM. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. DEM. — Let x be any one quantity and y any other. The sum is x + y ; and the square is, the square... | |
 | Edward Olney - 1878 - 360 pages
...the square of the second. 86. THEO. — The square of the difference of two quantities is equal to the 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 is equal to the difference of... | |
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That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. 
