 | Fletcher Durell - Algebra - 1916 - 606 pages
...which, stated in general language, is the rule: The square of the difference of two quantities equals the square of the first, minus twice the product of...first by the second, plus the square of the second. Ex. 1. (2z - Зт/)2 = 4z2 - 12xy + Qy2 Product Ex. 2. [(x + 2y)-5]2 = (a- + 2y?- Щх + 2y) + 25 =... | |
 | William Herschel Bruce - Education - 1916 - 316 pages
...numbers whatever, therefore, the square of the sum of any two numbers is the square of the first plus twice the product of the first by the second plus the square of the second. Similarly (a + &; « = a8 + 3 a2 b + 3 a&8 + &» may be translated for any two numbers whatever. This... | |
 | Education - 1916 - 612 pages
...Johnny is not mathematically inclined, what docs it matter to him if "the square of the first plus twice the product of the first by the second plus the square of the second" is an algebraic formula? Addition, subtraction, multiplication, division, and simple fractions just... | |
 | Mathematics - 1917 - 284 pages
...have any value assigned to it, this formula is the literal expression of the following: 141. Rule: 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 last. The only difference, then, between the square of the sum of... | |
 | Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...I may be stated in words : The square of the sum of two numbers equals the square of the first plus twice the product of the first by the second plus the square of the second. ab Let the student state Type II in words. The product (a+ &)2 = а2 + 2 ab + &2 may be represented... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...,4, , ~ , ,„ (a — o)2 = a2 — 2 ab + о2. That is, the aguare of the, difference of two numbers is equal to the square of the. first, minus twice the product of the two numbers, ¡Aus the square of the second. Example. By means of this formula, find the square of... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Algebra - 1919 - 344 pages
...which, stated in general language, is the rule : The square of the difference of two numbers equals the square of the first, minus twice the product of...first by the second, plus the square of the second. Ex.1. (2 x - 3 j/)2 = 4 x2 - 12 xy + 9 y2. Product. Ex. 2. 9982 = (1000-2)2 = 10002-4 x 1000 + 22 =... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...words this typeform gives the following : Rule. The square of the difference of two numbers equals the square of the first minus twice the product of the first and the second plus the square of the second. I' -b Exercise 38 Write at sight the following squares:... | |
 | John Bascom Hamilton, Herbert Earle Buchanan - Mathematics - 1921 - 310 pages
...10. (2a+l+36)2 = [2a+(l+36)]2 192. Theorem II. The square of the difference between two quantities is the square of the first minus twice the product of the first and the second plus the square of the second quantity. 193. Example. Multiply (a- 6) by (a- 6). Operation:... | |
 | J. Andrew Drushel, John William Withers - Mathematics - 1926 - 336 pages
...construction that (5-3)2 = 52-2-5X3+32. Is this statement true? The square of the difference of two numbers is the square of the first, minus twice the product of...first by the second, plus the square of the second. If the above statement is true, learn it and use it. Practice I Write or say these products. 1. (x-2)(x-2)=2.... | |
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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. 
