 | 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...square of the first, plus twice the product of the two, plus the square of the second. DEM. — Let x be any one quantity and y any other. The sum is... | |
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...difference 5x2 — 3y. 6. Sum 2 a — 8 b and difference 10 a + 14 6. THEOREM II. .'»S. The square of /he 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. Let a and b represent the two quantities ; their sum will be a-fu.... | |
 | 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...square of the first, plus twice the product of the two, plus the square of the second. DEM. — Let x be any one quantity and y any other. The sum is... | |
 | Edward Olney - 1878 - 360 pages
...products as they stand, even without first adding the products by a and 6. 4. ED 85. THEO. — Tlie 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. 86. THEO. — The square of the difference of two quantities is... | |
 | 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 to multiply a + b into itself.... | |
 | 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... | |
 | Benjamin Greenleaf - Algebra - 1879 - 322 pages
...following theorems give rise to formulas, useful in abridging algebraic operations. THEOREM I. 76. The square of the sum of two quantities is equal to...of the first, plus twice the product of the first by the second, plus the square of the second. For, let a represent one of the quantities, and b the... | |
 | 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. Ex. 1. What is the square of... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...¿)2 = (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. 105.... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...following theorems give rise to formulas, useful in abridging algebraic operations. THEOREM I. 76, The square of the sum of two quantities is equal to the tguare of the first, plus twice the product of the first by the second, plus the square of the second.... | |
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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. 
