 | Charles Davies - Algebra - 1857 - 408 pages
...multiplication indicated, (a — b)2 = o2 - 2ab + b2 ; 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 Iht second, plus the square of the second. To apply this to an example, we have (7a2J2 _ 12a63)2 =... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...the theorem. AP PLI CAT ION. 1. (2+5)2=4+20+25=49. 2. (2m3Ti)2=4 3. 4. ART. 79. THEOREM II. — The square of the difference of two quantities is equal to the square of the f'rst, minus twice the product of the first by the second, phus the square of the second. Let a represent... | |
 | Charles Davies - Algebra - 1859 - 324 pages
...b, we have, (a - b)2 = (a - b) (a - b) = a2 - 2ao + o2. That is, The square of the difference of any two quantities is equal to the square of the first,...first by the second, plus the square of the second. 1. Find the square of 2a — b. We have, (2a — o)2 = 4a2 - 4ao + o2. 2. Find the square of 4аc —... | |
 | Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...particular, before proceeding further. 357. PRIN. 3. — THE SQUARE OF THE DIFFERENCE OF TWO NUMBERS, IS EQUAL TO THE SQUARE OF THE FIRST, MINUS TWICE THE...FIRST BY THE SECOND, PLUS THE SQUARE OF THE SECOND. ILLUSTRATION 1 . — Required the square of 27 27 = 30 _ 3. The square of 27 then is 900 — 2 x 90... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...— гН ---- ^ 12. Square ?+** THEOREM II. (HO.) T/ie square of the difference of two quantities i» equal to the square of the first, minus twice the...first by the second, plus the square of the second. DEMONSTRATION. Let a—b represent the difference of two quantities. Squaring it, or multiplying it... | |
 | Jeremiah Day - Algebra - 1859 - 422 pages
...familiar with this theorem, are apt to assume the square of a+b to be simply a3+b3. THEOREM II. HO. The square of the Difference of two quantities is equal...of the first, minus twice the product of the first and second, plus the square of the second. For, if the quantities are represented by a and 6, their... | |
 | Ebenezer Bailey - Algebra - 1860 - 264 pages
...What is the square of a — b ? a — b a — b a2 — ab of _ 2a6 + 6s We see, then, that 84. The square of the difference of two quantities is equal...of the first, minus twice the product of the first bу the second, plus the square of the second. Thus, (baэ? — 7p)2 = 25aV — 7Оaрx2 + 49p2. It... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...multiplication indicated, (a — b)2 = a2 — 2ab + b2 • 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 tin tecond, plus the square of the second. To apply this to an example, we have (7a262 - 12o63)2 =... | |
 | Charles Davies - Algebra - 1860 - 330 pages
...b1. That is, The square of the sum of any two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 1. Find the square of 2a + 3b. We have from the rule, 63. What is a formula? What are the uses of formulas... | |
 | Charles Davies - Algebra - 1860 - 328 pages
...a2 — 2a6 + 62 : That is, ÍVií square of the difference between two quantities is equal to lh.e square of the first, minus twice the product of the first by the second, phis the square of the second. 1. Form the square of 2a — 6. We have (2a— 6)2 = 4a2— 4с6 +•... | |
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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. 
