| Jacob William Albert Young - 1908 - 344 pages
...second. 120. Type IV : О -/)2 = x2 - 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 + 6)2 = a2 + 2 a6 + 6'. (2a- 6)" =... | |
| Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...which, stated in general language, is the rule — The square of the difference of tuo quantities equals **the square of the first, minus twice the product of...first by the second, plus the square of the second.** Ex. (2x - 3^)2 = 4z2 - 12xy + 92/2, Product. 87. III. Product of the Sum and Difference of Two Quantities.... | |
| Joseph W Wilson (Mathematician) - 1910 - 314 pages
...a ai , ^" -(- b by itself, we have what the theorem ab + b2 states. a2 + 2 ab + Ь2 Theorem II. The **square of the difference of two quantities is equal...of the first, minus twice the product of the first** and seсond, plus the square of the second. a — b PROOF. Let a and b stand for any a — b two quantities.... | |
| Joseph Victor Collins - Algebra - 1910 - 332 pages
...(12£)2=(12+i)2. 21. (8.5)2 = (8 + £)2. 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-36)2=? SOLUTION,... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1910 - 202 pages
...second. Similarly, (a - 6)2 = 62 - 2 ab + 62. Or, Tlie square of the difference between 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. EXERCISE 45 Find by inspection : 1. (X + Z)(X + z). 7. (5a... | |
| Joseph Victor Collins - Algebra - 1910 - 332 pages
...Vx + x. (On the right side we 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** tht second, plus the square of the second. What axiom is used ?) 10Vx = 20. (Tjie radical quantity... | |
| John Henry Walsh - Algebra - 1911 - 238 pages
...25 first by the second + the square of Ans. a? + 10 x + 25 the second. Multiply (x- 5) by (x-5). The **square of the difference of two quantities is equal to the square of the — — first** — twice the product of the first by the second + the square of the second. , —. — rr rr= Ans.... | |
| Fletcher Durell - Algebra - 1912 - 300 pages
...which, stated in general language, is the rule: 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.** Ex. 1. (2x - 3y)2 = 4x2 - 12xy + 9y2 Product Ex. 2. [(* + 2?/)-5]2 = (a- + 2y)2- 10(x + 2y) + 25 =... | |
| Arthur Schultze - 1910 - 340 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... | |
| Frederick Howland Somerville - Algebra - 1913 - 458 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.... | |
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