 | Frank Castle - Mathematics - 1900 - 200 pages
...quantities is equal to the sum of the squares of the quantities increased by twice their product. Similarly, The square of the difference of two quantities is equal to the sum of the squares of the quantities diminished by twice their product. By multiplying (x+y)(x—y)... | |
 | John Appley Ferrell, B. F Sisk - Arithmetic - 1901 - 436 pages
...-ab + 6 2 a 2 — ab a 2 -2a6+6 2 , result. PRINCIPLE: 1. The square of the difference of two numbers is equal to the square of the first minus twice the product of the first times the second plus the square of the second. (Commit.) NOTE. — Compare this principle with the... | |
 | Edward Brooks - Algebra - 1901 - 248 pages
...+ 6s)'. _ 21. (a" + ' + &n + 1)'. THEOREM II. 27ie sgwwe of the difference of two quantities equals the square of the first, minus twice the product of the first and second, plug the square of tlte second. , ,. OPERATION. Let a — o represent the difference of... | |
 | International Correspondence Schools - Arithmetic - 1902 - 794 pages
...square of the first, plus twice tke product of the first and the second, plus the square of tke second. The square of the difference of two quantities is...of the first, minus twice the product of the first and the second, plus the square of the second. T/tc product of the sum and difference of two quantities... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...(fQ-fA)2. 4. («A -I)2. 9. j(a + b)-c}2. 5. (2a2-3b. 10. а-Ь-с166. Theorem 3, The product of the sum and difference of two quantities is equal to the square of the first minus the square of the second. Dem. Let x + a be the sum and x — a the difference of two quantities, then... | |
 | George Edward Atwood - Arithmetic - 1902 - 168 pages
...multiplication to be a2 — 2 a6 + 62. PRINCIPLE. — The square of the difference of two quantities is the square of the first, minus twice the product of the first and second, plus the square of the second. Since a represents any quantity and 6 any less quantity,... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...second. In the second case we have (a — б) = a' — 2ab + b', which relation may be stated thus : The square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. In the third case we have (a -f- 6) (a — b) = a' — b», or... | |
 | George Washington Hull - Algebra - 1904 - 172 pages
...+ у)2. 5. (b + cf. 2. (a + nf. 4. (y + bf. 6. (m + n)2. HULL'S EL. OF ALG. — 4 49 PRINCIPLE II. The square of the difference of two quantities is...of the first, minus twice the product of the first and second, plus the square of the second. Thus, by multiplication, а -Ь а —b а2— ab Also,... | |
 | Robert Judson Aley, David Andrew Rothrock - Algebra - 1904 - 344 pages
...Ь)]2. 7. 3. The Square of a Binomial Difference. If, in the identity we change a to — a, it becomes The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. = 4 a2 — 4 ay + y2. EXERCISES. Write out... | |
 | Webster Wells - Algebra - 1904 - 642 pages
...first by the second, plug the square of the second. The square of the difference of two numbers equals the square of the first, minus twice the product of the first bij the second, jilits the square of the second. In the remainder of the book, we shall, for the sake... | |
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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. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'. 
