 | Benjamin Greenleaf - 1883 - 344 pages
...i4 4- 6 a5 #" c4 -f-- 9 a4 4*c". THEOREM II. 77i The square of the difference of two quantities il equal to 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... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...plus the square of the second. In the second case, we have (a — 6)2 = a2 — 2 ab + 62. (2) That is, the square of the difference of two quantities is...product of the two, plus the square of the second. In the third case, we have (a -\-b)(a — b) = a2 — 62. (3) That is, the product of the sum and difference... | |
 | Webster Wells - 1885 - 368 pages
...plus the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (2) That is, the square of the difference of two quantities is...product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...plus the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is...product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That is, the product of the sum and difference... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1885 - 412 pages
...sum of two quantities is equal to the sum of their squares increased by twice their product. RULE 2. The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. L Заб3. 1 «;v. 3. 7аЬ2. 4. Ш2А 5. 4а466.А... | |
 | Webster Wells - Algebra - 1885 - 372 pages
...b2. (1) 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. In the second case, we have (a — 6)2 = a2 — 2 ab + b3. (2) That is, the square of the difference... | |
 | Algebra - 1888 - 492 pages
...(72)2 = (70 + 2)2 = 4900 + 280 + 4 = 5184. (104)2 = (100 + 4)2 = 10000 + 800 + 16 = 10816. 88. II. The square of the difference of two quantities is...square of the first, minus twice the product of the first by the second, plus the square of the second. Thus, (x — yY = a* — 2xy + y2. g. (x — 5)... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...+ 1. 8. a* + b*. 4. a + 3 b. 9. x + 2. THEOREM II. 86. The square of the difference of two numbers is equal to the square of the first, minus twice the...product of the two, plus the square of the second. PROOF. Let a and b represent the. two numbers. Their difference will be a — Ь ; and (a — b)2 =... | |
 | John Bernard Clarke - Algebra - 1889 - 566 pages
...quantities, plus twice the product of the wi 2 4* 2wwi —j— n quantities themselves. 70. Theorem.—The square of the difference of two quantities is equal...square of the first, minus twice the product of the first and second, plus the square of the second. Let m and n represent any two quantities; the difference... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...b)2 = a? — 2 ab + &2. (2) That is, the square of the difference of two quantities is equal to tlie square of the first, minus twice the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b3. (3) That is, the product of the sum and difference... | |
| |
... the square of the second. In the second case, we have (a — &)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 the product of the two, plus the square of the second. 
