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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. "
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 54
by Benjamin Greenleaf - 1879 - 309 pages
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A First Course in Elementary Algebra

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)" =...
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A Grammar School Algebra

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....
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An Elementary Algebra for Schools and Academies, by Joseph W. Wilson

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....
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Practical Algebra, First Year Course

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,...
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Secondary-school Mathematics, Book 1

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...
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Practical Algebra, First Year Course, Book 1

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...
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An Introductory Algebra

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....
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Durell's Introductory Algebra

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 =...
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Elements of Algebra

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...
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Elementary Algebra Revised

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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