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" 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. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Página 47
por Jeremiah Day - 1859 - 404 páginas
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 378 páginas
...(a-by=(ab) (ab)=a1-2ab+V That is, the square of the difference between two quantities is composed of the square of the first, minus twice the product of the first by the second, plus the square of the second. Thus, (7a3i3-12ai3)3=49aW-168a''is+144a3ii1. 3d. Let...
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A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 360 páginas
...adding them together : thus, and 36aV + 60a3^3 + 25aix3 = (Sax2 + 5aV)2, or x X (6ax2 + 5aV). . 2. The square of the difference of two quantities is equal to the sum of their squares, minus twice their product. Let a be the greater of two quantities, and b the...
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The British Cyclopaedia of the Arts, Sciences, History, Geography ...

Charles Frederick Partington - 1838 - 1116 páginas
...twice the product of the first and second. 2°. That (o — b) (a — i) = a* — 2o6 + V ; or, that the square of the difference of two quantities is equal to the square of the first, plug the square of the second, minus twice the product of the first and second. 3°. That (a + i) (a...
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Elements of Algebra

1838 - 372 páginas
...difference, a — b, we have (a-by=(ab) (ab)=a?-2ab+t2 : That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the frst by the second, plus the square of the second. Thus, fTVi2— 12ai3)2=49a4i4— 168a3i5+144a2i6....
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1839 - 272 páginas
...39. To form the square of a difference a— b, we have That is, the square of the difference between 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. 1 Form the square of 2a — b. We have 2. Form the square...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1839 - 368 páginas
...difference, a — b, we have (a— 6)2=(a-6) (a-6)=a2-2a6 + 62: That is, the square of the difference between 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. Thus, (7a262— 12a63)2=49a4M— 168a365+144a266. 3d....
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1840 - 264 páginas
...39. To form the square of a difference a— b, we have That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of tht frst by the second, plus the square of the second. 1 Form the square of 2<z— b. We have (2a —...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 páginas
...a— b, we have (a—b)2 = (a—b) (a—b)—az~2ab+bz. That is, the square of the difference between 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, 1. Form the square of 2a— b. We have (2a—6)2=4o2—4a6+62....
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Elements of Algebra

Charles Davies - 1842 - 368 páginas
...difference, a—b, we have (a—b)2=(ab) (ai)=a 2 —2ai+i2: That is, the square of the difference between 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. Thus, (7o 2 i2—12ai 3 ) 2 =49a 4 i 4 —168a 3 i 6...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - 1845 - 308 páginas
...second. 17. Multiply a — b by a — b. The product is a2 — 2a6+62 ; from which we perceive, that the square of the difference of two quantities, is...of the first minus twice the product of the first by the second, plus the square of the second. 18. Multiply a+b by a — b. The product is a2 — b2...
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