 | 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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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. 
