 | Webster Wells - Algebra - 1906 - 550 pages
...ab + b2 Whence, (a + 6)s = a2 + 2 ab + V. (1) That is, 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. 1. Square За + 2 b. We have, (3 a + 2 Ъ)2 = (Я a)2 + 2(3 a) (2 b) + (2 b)2 Whence, (ab-)í = at-2ab... | |
 | 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
...+ twice (20 x 5) + 52 ; 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 product of...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... | |
 | Webster Wells - Algebra - 1908 - 262 pages
...required to square a +b. a+b a+b a3+ ab ab + b2 That is, 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. 1 . Square 3 a + 2 b. We have, (3 o + 2 6)2 = (3 a)2 + 2(3 a) (2 6) + (2 6)2 Let it be required to... | |
 | 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 - 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... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...be required to square a +b. a + b a + b a2+ ab That is, 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. 1. Square 3a + 2b. We have, (3 a + 2 6)2 = (3 a)2+2(3 a) (2 6) + (2 Ь)2 =9a2+12a6 + 463. Let it be... | |
 | 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... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 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. (2x + 3у)2 = 4>¿ + 12xy + 9у2, Product. Since the square oí 2x is 4x2, twice the product of... | |
 | Joseph Victor Collins - Algebra - 1910 - 332 pages
...have the square of the difference of two quantities (5 and Va;) 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 ?) 10Vx = 20. (The radical quantity put by itself on one side. Ax. ?) ^» = 2' (Dividing... | |
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That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 
