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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. "
Elementary Algebra - Page 106
by Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 pages
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Elementary Algebra

Arthur Schultze - Algebra - 1905 - 482 pages
...special mention : II. (ab)- = a-- III. (а + 6)(а-6) = о2-о2. Expressed in general language: I. Tlie square of the sum of two numbers is equal to the square of the first, plus twice the product of ike first and the second, plus the square of the second. II. The square of the difference of two numbers...
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Advanced Algebra

Arthur Schultze - Algebra - 1905 - 674 pages
...(a-6)2=a2III. (a + 6)(a-6) = a2-62. Expressed in general language: I. Tlie square of the sum of tico numbers is equal to the square of the first, plus twice the product of the first and second, plus the square of the second. II. The square of the difference of two numbers is...
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Advanced Algebra

Arthur Schultze - Algebra - 1906 - 584 pages
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language : I. The square of the sum of two numbers is equal to the...square of the first, plus twice the product of the first and the second, plus the square of the second. II. The square of the difference of two numbers...
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Advanced Algebra

Arthur Schultze - Algebra - 1906 - 618 pages
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language: I. The square of the sum of two numbers is equal to the...square of the first, plus twice the product of the first and the second, plus the square of the second. II. TJie square of the difference of two numbers...
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High School Algebra: Elementary Course

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1907 - 328 pages
...exhibited in the figure, page 83. Translated into words this identity is : The square of the sum of any two numbers is equal to the square of the first plus...of the two numbers plus the square of the second. 88. Similarly we obtain the square of the difference of two numbers. (a-6)2 = a2-2 ab + b\ Translate...
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High School Algebra: Complete Course

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 520 pages
...exhibited in the figure, page 83. Translated into words this identity is : The square of the sum of any two numbers is equal to the square of the first plus...of the two numbers plus the square of the second. 88. Similarly we obtain the square of the difference of two numbers. (a - b)^a*-2 ab + V. Translate...
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An Arithmetic for Upper Grades

John Henry Walsh - Arithmetic - 1908 - 314 pages
...+ 20 times 5 + 52 (20 + 5) times (20 + 5) = 202 + 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 the first by the second, plus the square of the second. 394. Oral Exercises. Give answers: 3. 31" 5. 352...
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Practical Elementary Algebra

Joseph Victor Collins - Algebra - 1908 - 442 pages
...+ -B)2 = ^12 + 2^1B + B2 into a theorem, we have THEOREM I. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first quantity multiplied by the second, plus the square of the second. o. REMARK. Notice how much...
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Psychologic Method in Teaching

William Arch McKeever - Educational psychology - 1909 - 386 pages
...practice in their application. For example, take theorem i: The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. Ordinarily students will find no difficulty in...
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Elements of Algebra

Arthur Schultze - Algebra - 1918 - 336 pages
...the preceding type of examples deserve special mention : П. III. Expressed in general language : I. The square of the sum of two numbers is equal to the...square of the first, plus twice the product of the first and the second, plus the square of the second. II. The square of the difference of two numbers...
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