| 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.... | |
| Joseph Ficklin - Algebra - 1874 - 446 pages
...4. 24. Multiply (а + и)2 by (а - о)3. Ans. а5 — а4о — 2asô2 + 2asô3 + 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... | |
| 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.... | |
| 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.)... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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.... | |
| 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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