| Arthur William Potter - Algebra - 1904 - 182 pages
...PRINCIPLE. 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.** Write out the following results without multiplying. If you cannot do this readily, work the examples... | |
| Webster Wells - Algebra - 1904 - 642 pages
...numbers be divided by the sum ^.of the n umbers, the quotient is the square of the ßrst number, minus **the product of the first by the second, plus the square of the second** number. If /he difference of the cubes of two numbers be divided by the difference of the numbers,... | |
| Frederick Howland Somerville - Algebra - 1905 - 220 pages
...multiplications we make the following conclusions : From I. : 69. 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.** The square of the sum of two quantities The square of the difference of two quantities The product... | |
| Webster Wells - Algebra - 1906 - 570 pages
...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... | |
| Webster Wells - Algebra - 1906 - 484 pages
...numbers be divided by the difference of the numbers, the quotient is the square of the first number, plus **the product of the first by the second, plus the square of the second** : i. Divide 1 + 8a3 by 1 + 2 a. By § 96, 8 a3 is the cube of 2 a ; then, by the first rule, 2. Divide... | |
| John Henry Walsh - Arithmetic - 1908 - 314 pages
...+ 5) = 20 2 + twice (20 x 5) + 5' 2 ; or 400+ 200+ 25, or 625. The square of the sum of two numbers **is equal to the square of the first, plus twice the...first by the second, plus the square of the second.** 394. Oral Exercises. Give answers: 3. 31* 5. 35 2 7. 3.5» 9. 4. 41 2 6. 45 2 8. 4.5* 10. (51) 2 11.... | |
| Webster Wells - Geometry - 1908 - 329 pages
...and give a geometrical proof of the algebraic theorem : The square of the sum of two numbers equals **the square of the first, plus twice the product of...first by the second, plus the square of the second.** AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one... | |
| Frederick Howland Somerville - Algebra - 1908 - 428 pages
...state, from (I), (II), and (III), respectively : 111. 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.** 112. The square of the difference of two quantities equals the square of the first, minus twice the... | |
| Webster Wells - Algebra - 1908 - 470 pages
...«2-2a6+b2. (2) That is, the square of the difference of two numbers equals the 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 between a and 6 " to denote... | |
| Joseph Victor Collins - Algebra - 1908 - 442 pages
...have the square of the difference of two quantities (5 and Vx) equals the square of the first, minus **twice the product of the first by the second, plus the square of the second.** What axiom is used?) 10 Vx = 20. (The radical quantity put by itself on one side. Ax. ?) Vx = 2. (Dividing... | |
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