...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 square of the difference...

...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....

...? 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 second. Write out...

...+ b* a' + 2 ab + b* From this we deduce the following THEOREM. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the two, plus the square of the second. According to this theorem find the square of 1. x + y. 8. 3x +...

...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....

...86. A Composite Quantity is the product of two or more quantities. PRINCIPLE I. The square of the mm of two quantities is equal to the square 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 a1 + ab + ab + b' a1...

...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 -f- the square of the second. The square of the difference...

...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 square of the difference...

...' 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. What is the perimeter...

...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...