 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...the product of a and 6, and 6' the square of b, hence we may say that : The square of the sum oftuio quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. In the second case we have (a — б) = a' — 2ab + b', which... | |
 | John Henry Walsh - Algebra - 1903 - 526 pages
...a? and y1 are the squares of x and y, respectively, and that 2 xy is twice the product of x and y. The square of the sum of two quantities is equal to the square of the fir2t, plus twice the product of the first and the second, plus the square of the second. Any expression... | |
 | Edward Gideon - Arithmetic - 1903 - 164 pages
...which is the difference of the two quantities, and the other is the square of the first quantity, plus the product of the first by the second, plus the square of the second quantity. EXAMPLES. 161. a3 + 6'. 171. aV + 1. 181. 8a3 - 6V. 162. ж3 + z2. 172. 1 -6V. 182. a3 +... | |
 | John Henry Walsh - Algebra - 1903 - 564 pages
...respectively, and that 2xy is twice the product of ж and y. The square of the sum of two quantities is eqnal to the square of the first, plus twice the product of the first and the second, plus the square of the second. Any expression in tha form of ж2 + 2xy + y? is composed... | |
 | George Washington Hull - Algebra - 1904 - 172 pages
...composite quantities. 36. A Composite Quantity is the product of two or more quantities. PRINCIPLE I. The square of the sum of two quantities is equal...of the first, plus twice the product of the first and second, plus the square of the second. Thus, by multiplication, a + b a + b а2+ aft + aft + ft2... | |
 | Arthur William Potter - Algebra - 1904 - 182 pages
...product of the terms of the binomial and is positive. Hence we have the following principle : PRINCIPLE. The square of the sum of two quantities is equal to the square of the first plus tivice the product of the first by the second plus the square of the second. Write out the answers... | |
 | Webster Wells - Algebra - 1904 - 642 pages
...numbers be divided by the sum ^.of the n umbers, the quotient is the square of the ßrst number, minus the product of the first by the second, plus the square of the second number. If /he difference of the cubes of two numbers be divided by the difference of the numbers,... | |
 | Frederick Howland Somerville - Algebra - 1905 - 222 pages
...multiplications we make the following conclusions : From I. : 69. The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the second, plus the square of the second. The square of the sum of two quantities The square of the difference of two quantities The product... | |
 | Arthur Schultze - Algebra - 1905 - 674 pages
...(a-6)2=a2III. (a + 6)(a-6) = a2-62. Expressed in general language: I. Tlie square of the sum of tico numbers is equal to the square of the first, plus twice the product of the first and second, plus the square of the second. II. The square of the difference of two numbers is equal... | |
 | Arthur Schultze - 1905 - 396 pages
...(а + 6) (а -6) = а2 -Ь3. Expressed in general language : I. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. II. The square of the difference of two numbers is equal... | |
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That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 
