Books Books 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: Embracing the First Principles of the Science - Page 25
by Charles Davies - 1842 - 258 pages ## New Elementary Algebra: Designed for the Use of High Schools and Academies

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...first by the second, plus the square of the second. For, let a represent one of the quantities, and b the other; then, (a + b)' = (a + 4) X (a + 6) = a2... ## New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 352 pages
...algebraic operations. THEOREM I. 76. The square of the sum of two quantities is equal to the tquare of the first, plus twice the product of the first by the second, plus the square of the second. Define a Formula. What is Theorem I. ? For, let a represent one of the quantities, and b the other;... ## A Treatise on Algebra

Elias Loomis - Algebra - 1879 - 398 pages
...The three following theorems have very important applications. 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 Hie square of the second. Thus, if we multiply a+b by a + b a? + ab ab + b2 we obtain the product a2... ## University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...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. "We may also show, by multiplication, that (a — 6)2 = a2 — 2 ab + b2. (2) That is, The square... ## New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...THEOKEM H. 68. 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. Ex. 1. Find the square of (a — 6). Analysis. Here a and 6 are the two quantities, and OPERATION (a... ## New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 376 pages
...THEOREM II. 77. 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 tfte second. For, let a represent one of the quantities, and 6 the other; then, (a — 6)a = (a —... ## Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...operations illustrate the following principle : PRINCIPLE. — The square of the sum of two numbers is equal to the square of the first, plus twice the...first by the second, plus the square of the second. Thus : Show by involution, that : \. (5)2 equals 25. 8. (£)5 equals MrlJ. 2. 14s 2744. 9. (.02) s... ## University Algebra: Designed for the Use of Schools and Colleges

Webster Wells - Algebra - 1880 - 512 pages
...That is, 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. 106. Again, by multiplication, we have (a + b) (a - b) = a2 - V. (3) That is, The product of the sum... ## An Easy Algebra for Beginners: Being a Simple, Plain Presentation of the ...

Charles Scott Venable - Algebra - 1880 - 168 pages
...expresses the Rule :—Tlie square of the difference of two quantities is the square of the first, minus twice the product of the first by the second, plus the square of the second. Ex. 1. (x - 5)" = x' - 10ж + 25. Ex. 2. (За - 2o)" = (За)' - 2 x За х 2o + (2o)' = 9a' - 12ao... 