...64. Or, substituting general symbols for particular numbers : Or, expressing the theorem in words, the square of the sum of two numbers is equal to the sum of the squares of the same numbers, together with twice their product. Bearing this in mind, we...

...difference of the squares of two numbers is equal to the product of their sum and difference. and. The square of the sum of two numbers is equal to the sum of the squares together with twice the product. 3rd. The square of the difference of two numbers...

...19(6— c)— 6. Expand and reduce 66. The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first ly the second, plus the square jof the second....

...difference of the squares of two numbers is equal to the product of their sum and difference. znd. The square of the sum of two numbers is equal to the sum of the squares together with twice the product. 3rd. The square of the difference of two numbers...

...the parts separately hy the width ? Fig. 2. 25 feet. V 20 Ew* r 6 \JC b sir D F 20 20 20 5 400 100 the square of the sum of two numbers is equal to the squares of the numbers, pins twice their product. Thus, 25 being equal to 20-1-5, its square is equal to the squares of 20...

...the squares of 20, 30, 40, 50, etc., are 400, 900, 1600, 2500, etc. Now since -(a+b)*=a'+2ab.+ b', the square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....

...reduce 53(a-6+c)-27(a+6-c)-26(a-6-c). 66. The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....

...multiplying the parts separately by the width '! Fig. 2. 25 feet. !rj| GA D 20 F 2(J ' 5 20 400 100 the square of the sum of two numbers is equal to the squares of the numbers, plus twice their product. Thus, 25 being equal to 20 -)- 5, its Bquare is equal to the squares of 20...

...numerically by the product of the sides, we may at once deduce from the intuition of a figure in space that the square of the sum of two numbers is equal to the sum of their squures, together with twice their product and other theorems of a similar character ?...

...complicated formula, such as (a + A) 2 = a 2 + 2«6-f 6 2 , which would be thus stated in words: " The square of the sum of two numbers is equal to the sum of their squares increased by twice the product of the numbers", the advantage is more decidedly...