 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.  Elements of Algebra - Page 1271839 - 355 pagesFull view - About this book
 | Joseph Ray - Algebra - 1852 - 408 pages
...member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x^-\-2px as the first two terms... | |
 | New York (State) School for the deaf, White Plains - 1854 - 936 pages
...of two quantities T " 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." (la— 5Z>)S= what! " (la— 5Z>)3= 49as— 70ab+25b\" Resolve a2 — b~ into factors 1 What is the... | |
 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...the square of the second ; The square of the sum of any two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the tecond. Illustrations. (7 + 5)2 = 72 + 2 X 7 X 5 + 52 = 49 + 70 + 25 = 144 = 122 (8 -f- 4)a = 82 +... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...extracting the square root. Now we know that the square of a binomial, a;-fa, or a;'+ 2ax+a', is composed of the square of the first term, plus twice the product of the first term by the second, plus the square of the second term. Hence, considering x'+px as the first two terms... | |
 | Thomas Sherwin - Algebra - 1855 - 262 pages
...Hence the second power of the sum of two quantities contains the second power of the first quantity, plus twice the product of the first by the second, plus the second power of the second. Find the second power of a — 6. Operation. a — 6 a — 6 • a2 —... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...the square of the second ; The square of the sum of any two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the tecond. Illustrations. (7 + 5)2 = 72 + 2 X 7 X 5 + S2 = 49 + 70 + 25 = 144 = 12» (8 + 4)2 = 82 + 2... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...root. Now we know that the square of a binomial, x+p, is x'+2px+p' ; that is, the square is composed of the square of the first term, plus twice the product of the first term by the second, plus the square of the second term. Hence, considering x'+2px as the first two... | |
 | William Dexter Wilson - Logic - 1856 - 464 pages
...Properties of the Methods themselves. We say, for example, that the square of any Binomial, as a + 5, is the square of the first term plus twice the product of the two, plus the square of the second, or a? + lah + b*. And this is shown to be true from the nature... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...ART. 78. 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 by the second, plus the square of the second. Let a represent one of the quantities, and b the other ; then a+J=their sum ; and (a+6)X (o+J), or... | |
 | Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...Illustration. Inf 356. PRIN. 2. — THE SQUARE or 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. NOTE. — This principle demands close attention. ILLUSTRATION. — What is the square of 27 ? 27 is... | |
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