 ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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...  Secondary-school Mathematics - Page 122by Robert Louis Short, William Harris Elson - 1910Full view - About this book
 | 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 the first by the second, plus the square of the second. Ex. (2x - 3^)2 = 4z2 - 12xy + 92/2, Product. 87. III.... | |
 | Joseph W Wilson (Mathematician) - 1910 - 316 pages
...theorem ab + b2 states. a2 + 2 ab + Ь2 Theorem II. The square of the difference of two quantities is equal to the square 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
...Changing this formula into a theorem, we get THEOREM II. The square of the difference of two quantities is equal to the square 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,... | |
 | Arthur Schultze - 1910 - 338 pages
...product of the 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 numbers... | |
 | 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 the first by the second, plus the square of the second. Ex. 1. (2x - 3y)2 = 4x2 - 12xy + 9y2 Product Ex. 2. [(*... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1913 - 312 pages
...second. 142. Type IV: (x -/)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 + iг2)2 = a2 + 2 ab2 + Ь4. (2a- Ь)2... | |
 | 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 the first by the second, plus the square of the second. 113. The product of the sum and difference of two quantities... | |
 | Fletcher Durell - Algebra - 1914 - 606 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 the first by tlie second, plus the square of the second. Ex. 1. (2x - Зг/)2 = 4a;2 - \2xy + Qy2 Product Ex.... | |
 | Fletcher Durell - 1914 - 458 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 the first by the second, plus the square of the second. Ex. 1. (2x - 3т/)2 = 4z2 - 12xy + Qy2 Product Ex. 2.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...numbers : , ,. , •«/.•<.• (a — o)2 = a2 — 2 ao + o2. That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the two numbers, plus the square of the second. Example. By means of this formula, find the square of «... | |
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