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" The square of the sum of two quantities is equal to the square nf the first, plus twice the product of the first by the second, plus the square of the second. "
The first principles of algebra, for the use of the boys of the Royal ... - Page 23
by Admiralty - 1845
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An Elementary Algebra for Schools and Academies

Joseph W. Wilson - Algebra - 1873 - 268 pages
...eachJ^^azs^A has $50,000, and B has $70,000. SECTION XXV. Factoring. Fundamental Theorems. Theorem L The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second....
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The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - Algebra - 1874 - 446 pages
...4. 24. Multiply (а + и)2 by (а - о)3. Ans. а5 — а4о — 2as2 + 2as3 + ai4 — б5. 71. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. If we multiply a + Ъ by a + b %e obtain a2 + 2ab + b3; hence (а+Ь)г=аг+2(1.Ь...
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New University Algebra

Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...indicated operations, the results which follow : I. (a + by = (a + b)(a + b)=o? + 2ab + b*; hence, The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second....
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A school algebra to quadratic equations

Charles Mansford - 1875 - 110 pages
...=ar>+2ax+a>. i. x+a?. ii. — a) = ix? — a2- iii. ; + Ъ) = a? + (а+Ъ)a;+аЪ. iv. Hence from (i.) The square of the sum of two quantities is equal to the square of the first + twice the product of two quantities + the square of the second. And from (ii.)...
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - Algebra - 1877 - 466 pages
...(m + n)(m + n) — (m — n) (m — n). Last Besvlt, 4mn. THREE IMPORTANT THEOREMS. 94. THEOREM. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. DEM. — Let...
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Algebra to simple equations, Part 1

John Stewart (of Hastings.) - Algebra - 1878 - 128 pages
...x2y + 3*У + у. ix. (x — у) = x3 — yс1y + усy2 — y3. i. (a + b) (a + ) = a" + P + 2ab. The Square of the sum of two quantities is equal to the sum of the squares of each of the quantities increased by twice the product. Write down the squrtres of 1....
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - Algebra - 1878 - 516 pages
...n)(m + n) — (TO — n) (m — n). Z/osi Result, 4.mn, THREE IMPORTANT THEOREMS. 04:. THEOREM. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. DEM. — Let...
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - Algebra - 1878 - 322 pages
...+ 5"). 31. Expand (x + y + z) (x + y + z). GENERAL PRINCIPLES AND FORMULAS OF MULTIPLICATION. 101. The square of the sum of two quantities is equal to the square of the first, plus twice their product, plus the square of the second. i. Let it be required...
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New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...to do so. A PROBLEM is a question proposed for solution; i. a something to be done. TIIEOEEM I. 67. The square of the SUM of two quantities is equal to the square of the first, plus twice lhe product of the first by the second, plus the square of the second....
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...= (a + V) (a + I) ; whence, by actual multiplication, we have That is, (a + bY = a? + 2ab + b2. (1) The square of the sum of two quantities is equal to the square nf the first, plus twice the product of the first by the second, plus the square of the second....
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