...of the quantities, obtained from the quantities ? 3. What signs have the terms ? 73. PRINCIPLE. — The square of the sum of two quantities is equal to the square of the first quantity, plus twice the product of the first and second, plus the square of the...

...actually divided into these four parts ; after the second, by deducing it from the algebraic theorem that the square of the sum of two quantities is equal to the sum of the squares of those quantities, plus twice their product. The first method is purely geometrical. None...

...consecutive numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exercises. The square of the sum of two quantities is equal to the square of the first + twice the product of the first and the second + the square of the second. The...

...actually divided into these four parts ; after the second, by deducing it from the algebraic theorem that the square of the sum of two quantities is equal to the sum of the squares of those quantities plus twice their product. The first method is purely geometrical. None...

...? How is the second term obtained ? The third term ? 2. What signs have the terms ? 59. PRINCIPLE. The square of the sum of two quantities is equal to the square of the first quantity, plus twice the product of the first and second, plus the square of the...

...172. By multiplication we have (1), (tz-i)2=(a-¿)(ab) = а2-2а6 + й2. ............... (2). RULE 1. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. 1. 5. ЗаЬ3. 4а465лЛ 2. в. Ч'1!'. бл^у6....

...multiplication we have (a + b) (1). These formulae may be enunciated verbally as follows : Rule 1. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. Rule 2. The square of the difference of two quantities...

...+ 1). 61. The three following theorems are useful in the multiplication of binomials. That is : 62. 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....

...consecutive numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exercises. The square of the sum of two quantities is equal to the square of the first -f- twice the product of the first and the second + the square of the second. The...

...' 339. 340. 341. 342. 343. 344. (4* + 3j)* (5*+5j)* (ab+bc)* 345. Copy or read and fill the blanks: The square of the sum of two quantities is equal to the square of the _ , plus twice the product of the _ by the _ plus the square of the LESSON XXXV. 346....