| 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 iť **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 - 414 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 - 332 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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