| Arthur Schultze - Algebra - 1906 - 584 pages
...first and the 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 the second, plus the square of the second. III. The product of the sum and the difference of two... | |
| 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... | |
| Joseph Victor Collins - Algebra - 1908 - 442 pages
...multiplication in the .2_ — -r_ margin, we have _ Changing this formula into a theorem, we get THEOREM II. The **square of the difference of two quantities is equal...of the first, minus twice the product of the first** quantity multiplied by the second, plus the square of the second quantity. 23. (a-3bf = ? SOLUTION,... | |
| Webster Wells - Algebra - 1908 - 260 pages
...ab - ab+b* Whence, (ab)2 = a*-2ab+b\ (2) That is, the square of the difference of two numbers equals **the square of the first, minus twice the product of...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 b " to denote... | |
| Frederick Howland Somerville - Algebra - 1908 - 428 pages
...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 product of...first by the second, plus the square of the second.** 113. The product of the sum and difference of two quantities equals the difference of their squares.... | |
| Webster Wells - Algebra - 1908 - 470 pages
...a2— ab Whence, (a-6)2 = «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...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... | |
| Webster Wells - Geometry - 1908 - 329 pages
...of the algebraic theorem : The square of the sum of two numbers equals the square of the first, plus **twice the product of the 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... | |
| John Henry Walsh - Arithmetic - 1908 - 314 pages
...+ 200 + 25, or 625. The square of the sum of two numbers is equal to the square of the first, plus **twice the product of the first by the second, plus the square of the second.** 394. Oral Exercises. Give answers: 3. 31" 5. 352 7. 3.52 9. 4. 412 6. 452 8. 4.52 10. (5£)2 11. A... | |
| William Ernst Paterson - Algebra - 1908 - 614 pages
...in Algebra and the two corresponding rules should be learnt thoroughly. The product of the sum and **difference of two quantities is equal to the square of the first minus** the square of the second. The difference of the squares of two quantities is equal to the first plus... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1908 - 462 pages
...second. 120. Type IV: (ж -/)2 = jr2 - 2 xy +/. In words : The square of the difference of two numbers is **the square of the first, minus twice the product of the first** and the second, plus the square of the second. For example : (a + b)2 = a2 + 2 ab + 62. (2 a - 6)2... | |
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