| William Freeland - Algebra - 1895 - 328 pages
...+ 1). 61. The three following theorems are useful in the multiplication of binomials. That is : 62. **The square of the sum of two quantities is equal to...first by the second, plus the square of the second.** II. (а-b)2 = а2That is : 63. The square of the difference of two quantities is equal to the square... | |
| Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...there in the rectangle DGHE? How many in all ? PRINCIPLE 51. — The square of the sum of two lines **is equal to the square of the first plus twice the...first by the second plus the square of the second.** 29. Draw the square of the sum of two lines, one 5 inches, the other 3 inches, and show the truth of... | |
| Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...right. Since the square of a number divided into any two parts is equal to the square of the first part, **plus twice the product of the first by the second, plus the square of the second** part (§ 734), having found the square of the first part, which is 4iH)0, the remainder 517 must be... | |
| National Eclectic Medical Association of the United States of America - 1897 - 382 pages
...times, as expressed by the multiplier. In algebra, the square of the sum- of two quantities is exactly **equal to the square of the first, plus twice the product...first by the second, plus the square of the second.** In geometry, the square of the hypothenuse of a right-angled triangle exactly equals the sum of the... | |
| Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 478 pages
...b'', which, stated in general language, is the rule— The square of the sum of two quantities equals **the square of the first, plus twice the product of...first by the second-, plus the -square of the second.** Ex. (2z + ЗуУ = 4з? + Í2xy + Qf, Product. Since the square of 2x is 4z2, twice the product of... | |
| International Correspondence Schools - Electrical engineering - 1897 - 672 pages
...quantities, the square of tlie sum of tii'o quantities equals the square of the first, plus tiuice **the product of the first by the second, plus the square of the second.** 429. Also, that The square of the difference of two quantities equals the square of the first, minus... | |
| International Correspondence Schools - Civil engineering - 1899 - 722 pages
...429. Also, that The square of the difference of two quantities equals the tquare of the first, minus **twice the product of the first by the second, plus the square of the second.** 430. The third, example is: 3. To find the product of the sum and difference of two quantities. By... | |
| James Harrington Boyd - Algebra - 1901 - 816 pages
...Theorem III, is the fraction itself. 402. THEOREM V. — The square of the sum of two quantities is **the square of the first plus twice the product of...first by the second plus the square of the second.** By multiplying a -(- b by itself it is found that (a -\- b)* = (a+b) (а + b) = o2+ 2 ab + b\ Thus... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...THEOREM V. — The square of the sum of two quantities is the square of the first plus twice, tlie **product of the first by the second plus the square of the second.** By multiplying a + I by itself it is found that (a + I,)* = (a+ I,) (a + 1) = a-+ 2 ab + ¿a. Thus... | |
| Edward Gideon - Arithmetic - 1903 - 166 pages
...which is the difference of the two quantities, and the other is the square of the first quantity, plus **the product of the first by the second, plus the square of the second** quantity. EXAMPLES. 161. a3 + 6'. 171. aV + 1. 181. 8a3 - 6V. 162. ж3 + z2. 172. 1 -6V. 182. a3 +... | |
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