| 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 +... | |
| Arthur William Potter - Algebra - 1904 - 182 pages
...set. How do the products of the two sets compare ? Deduce the following principle : PRINCIPLE. The **square of the difference of two quantities is equal...first by the second plus the square of the second.** Write out the following results without multiplying. If you cannot do this readily, work the examples... | |
| George Washington Hull - Algebra - 1904 - 172 pages
...у)2. 5. (b + cf. 2. (a + nf. 4. (y + bf. 6. (m + n)2. HULL'S EL. OF ALG. — 4 49 PRINCIPLE II. 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. Thus, by multiplication, а -Ь а —b а2— ab Also,... | |
| Webster Wells - Algebra - 1904 - 642 pages
...first by the second, plug the square of the second. The square of the difference of two numbers equals **the square of the first, minus twice the product of the first** bij the second, jilits the square of the second. In the remainder of the book, we shall, for the sake... | |
| Arthur Schultze - Algebra - 1905 - 694 pages
...the first and second, plus the square of the second. II. The square of the difference of two numbers **is equal to the square of the first, minus twice the product of the first** and second, plus the square of the second. III. The product of the sum and difference of two numbers... | |
| Charles Austin Hobbs - Algebra - 1905 - 158 pages
...ab + b2 II. Find the square of a — b. a — b a — b a3 -ab -ab + 'b2 a2 - 2 ab + b2 That is, the **square of the difference of two quantities is equal to the square of the first** quantity, minus twice the product of the two, plus the square of the second. III. Find the product... | |
| Arthur Schultze - Algebra - 1905 - 396 pages
...first and the second, plus the square of the second. S- П. The square of the difference of two numbers **is equal to the square of the first, minus twice the product of the first** and the second, plus the square of the second. ^ III. The product of the sum and the difference of... | |
| Frederick Howland Somerville - Algebra - 1905 - 220 pages
...ai — ai + 62 a*+ a5 - ab - b1 From II. : 70. The square of the difference of two quantities equals **the square of the first, minus twice the product of the first** Ъy the second, plus the square of the second. From III. : 71. The product of the sum and difference... | |
| International Correspondence Schools - Arithmetic - 1906 - 598 pages
...of the first, flus twice the product of the first and the second, plus the square of the second. The **square of the difference of two quantities is equal...of the first, minus twice the product of the first** and the second, plus the square of the second. EXAMPLE 1.— What is the value of (ив* + 3¿')s ?... | |
| Webster Wells - Algebra - 1906 - 570 pages
...Whence, (ab-)í = at-2ab + bí. (2) That is, the square of the difference of two numbers equals tht> **square of the first, minus twice the product of the...first by the second, plus the square of the second.** In the remainder of the work we shall use the expression "the difference of a and 6" to denote the... | |
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