 | Charles Davies - Algebra - 1889 - 330 pages
...and second, plus t/ie square of the second. '2. The square of the difference of any two quanti ties, is equal to the square of the first, minus twice the product, of the first and second, plus the square of tht a. The product of the sum and difference of tioc quantities,... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...8. а? + b3. 4. а + 3 b. 9. x + 2. THEOREM II. 86. Tfic square of the difference of two numbers ù equal to the square of the first, minus twice the product of thc two, plus tlie square of the second. PROOF. Let a and b represent the two numbers. Their difference... | |
 | David Martin Sensenig - Algebra - 1890 - 556 pages
...= a* - 2 а Ь + У. Therefore, Prin. 2. — The square of the difference of two quantities equals the square of the first, minus twice the product of the two, plus the square of the second. 114. The cube of the sum of a and Ъ, or (a + b)3 = (a + b)(a + b) (a + b) = a3+ ЗаЧ + 3 a ô8 +... | |
 | Joseph Ray - Algebra - 1894 - 422 pages
...ct2+2ao+o2, which proves a2+2ao-fo2 the theorem. APPLICATION. 1. f2+5)2=4+20+25=49. 3. 4. . Theorem II. — The square of the difference of two quantities is equal to the square of the ßrst, minus twice the product of the ßrst by the second, plus the square of the second. Let в represent... | |
 | Webster Wells - Algebra - 1890 - 560 pages
...In the second case, (a -6)2 = a1-2ab + 62. (2) That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. In the third case, (a-\-b)(ab) = a?-bt. (3) Note.... | |
 | John Kelley Ellwood - Algebra - 1892 - 312 pages
...the first, plus the square of the second, plus twice the product of the two, or s2 = A2 + B. + 2p. The square of the difference of two quantities is equal to the square of the first, plus the square of the second, minus twice the product of the two, or d2 = A'2 + B. - 2p. The product... | |
 | John Henry Walsh - 1893 - 426 pages
...the square of the first + twice the product of the first and the second + the square of the second. The square of the difference of two quantities is equal to the square of the first — twice the product of the first and the second + the square of the second. (m — n)2 = m2 — 2... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1894 - 166 pages
...- 2 ab + 62 From this we deduce the following THEOREM. 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. According to this theorem find the square of 1. x — a. 16. 2 а с — b. 2. x — 1. 17. 4 x —... | |
 | William James Milne - Algebra - 1894 - 216 pages
...second term obtained ? The third term ? 2. What signs connect the terms of the power ? 61. PRINCIPLE. The square of the difference of two quantities is equal to the square of the first quantity, minus twice the product of the first and second, plus the square of the second. Write out... | |
 | Joseph Ray - Algebra - 1894 - 252 pages
...of the quantities, a and b. Hence, Theorem II. — The square of the difference of two quart*titles 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. (5-4)«=25— 40+16=1. 2. (2»— 6)2— 4a2—... | |
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... 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. 
