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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 and second, plus the square of the second.
University Algebra: Embracing a Logical Development of the Science: With ... - Page 29
by Charles Davies - 1863 - 311 pages

## Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...(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...

## Elements of Algebra

Algebra - 1838 - 372 pages
...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....

## Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...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....

## First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...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...

## First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1840 - 264 pages
...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 —...

## Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...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...

## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...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....

## Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...36a862 + 108a5ft* + 81a2ft6 ; also, (8a3 + 7acb)2-. THEOREM II. 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 tecond, plus the square of the second. Let a represent one of the quantities and b the other...