 ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (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 first by the second, plus the square...  Secondary-school Mathematics - Page 122by Robert Louis Short, William Harris Elson - 1910Full view - About this book
 | Edward Olney - Algebra - 1880 - 354 pages
...the two, plus 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... | |
 | Charles Scott Venable - Algebra - 1880 - 168 pages
...Zab + V. . . . (B), which expresses the Rule :—Tlie square of the difference of two quantities is the square of the first, minus twice the product of the first by the second, plus the square of the second. Ex. 1. (x - 5)" = x' - 10ж + 25. Ex. 2. (За - 2o)"... | |
 | Edward Olney - Algebra - 1882 - 358 pages
...the two, plus 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... | |
 | 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 b the... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...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. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That... | |
 | Webster Wells - 1885 - 368 pages
...we have (a — 6)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. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...we have (a — 6)2 = a2 — 2 ab + 62. (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. In the third case, we have (a -\-b)(a — b) = a2 — 62. (3) That... | |
 | Algebra - 1888 - 492 pages
...(104)2 = (100 + 4)2 = 10000 + 800 + 16 = 10816. 88. 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 second, plus the square of the second. Thus, (x — yY = a* — 2xy + y2. g. (x — 5) (x- 3)... | |
 | 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, is equal to the square of the first,... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...x2 + if. 3. a + 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... | |
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