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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.
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 54
by Benjamin Greenleaf - 1879 - 309 pages

## Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1857 - 408 pages
...multiplication indicated, (a — b)2 = o2 - 2ab + b2 ; 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 Iht second, plus the square of the second. To apply this to an example, we have (7a2J2 _ 12a63)2 =...

## Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1857 - 408 pages
...the theorem. AP PLI CAT ION. 1. (2+5)2=4+20+25=49. 2. (2m3Ti)2=4 3. 4. ART. 79. THEOREM II. — The square of the difference of two quantities is equal to the square of the f'rst, minus twice the product of the first by the second, phus the square of the second. Let a represent...

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

Charles Davies - Algebra - 1859 - 324 pages
...b, we have, (a - b)2 = (a - b) (a - b) = a2 - 2ao + o2. That is, The square of the difference of any two quantities is equal to the square of the first,...first by the second, plus the square of the second. 1. Find the square of 2a — b. We have, (2a — o)2 = 4a2 - 4ao + o2. 2. Find the square of 4аc —...

## Normal Arithmetic: A Text-book, Theoretical and Practical, in Six Parts ...

Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...particular, before proceeding further. 357. PRIN. 3. — THE SQUARE OF THE DIFFERENCE OF TWO NUMBERS, IS EQUAL TO THE SQUARE OF THE FIRST, MINUS TWICE THE...FIRST BY THE SECOND, PLUS THE SQUARE OF THE SECOND. ILLUSTRATION 1 . — Required the square of 27 27 = 30 _ 3. The square of 27 then is 900 — 2 x 90...

## The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...— гН ---- ^ 12. Square ?+** THEOREM II. (HO.) T/ie square of the difference of two quantities iť equal to the square of the first, minus twice the...first by the second, plus the square of the second. DEMONSTRATION. Let a—b represent the difference of two quantities. Squaring it, or multiplying it...

## An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1859 - 422 pages
...familiar with this theorem, are apt to assume the square of a+b to be simply a3+b3. THEOREM II. HO. The square of the Difference of two quantities is equal...of the first, minus twice the product of the first and second, plus the square of the second. For, if the quantities are represented by a and 6, their...

## First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1860 - 264 pages
...What is the square of a — b ? a — b a — b a2 — ab of _ 2a6 + 6s We see, then, that 84. The square of the difference of two quantities is equal...of the first, minus twice the product of the first bу the second, plus the square of the second. Thus, (baэ? — 7p)2 = 25aV — 7Оaрx2 + 49p2. It...

## Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 414 pages
...multiplication indicated, (a — b)2 = a2 — 2ab + b2 • 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 tin tecond, plus the square of the second. To apply this to an example, we have (7a262 - 12o63)2 =...