 | George Egbert Fisher - 1901 - 622 σελίδες
...= 4 я? + 20 xy + 25 y\ 3. By actual multiplication, we have That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. 4. Observe that this... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1902 - 504 σελίδες
...Expression. 1. By actual multiplication, we have (a + 6)2 = (a + 6) (а + Ь)=а3+2аЬ + Ь\ That is, the square of the sum of two numbers is equal to the...of the first number, plus twice the product of the two numbers, plus the square of the second number. Eg, 2. By actual multiplication, we have (a - 6)2... | |
 | Alvord D. Robinson - 1902 - 572 σελίδες
...use the exponent to save + ab + b3 repetition. From the work, the following principle is derived: — The square of the sum of two numbers is equal to the square of the first, plus two times the first by the second, plus the square of the second. 2. Multiply а - b by a ~b,... | |
 | William James Milne - 1902 - 620 σελίδες
...the sum of two numbers obtained from the numbers? 3. What signs have the terms ? 91. PRINCIPLE. — The square, of the sum of two numbers is equal to the square of the ßrst number, plus twice the, product of the Jirxt and second, plux the minare of the second. Since... | |
 | John Henry Walsh - 1903 - 288 σελίδες
...Multiplying by 20 202 + 20 x 5 Multiplying by 5 20 x 5 + 52 202 + 2(20 x 5) + 52 = 400 + 200 + 25 = 625. 414. The square of the sum of two numbers is equal to the square of the first + twice the product of the first by the second + the square of the second. 132=(10 + 3)2= 102 + 2(10x3)+32=?... | |
 | John Marvin Colaw - 1903 - 444 σελίδες
...the sum of two numbers. By multiplication, we have (x +/)2 = O +/) O +/) = x' + 2 xy +/-. That is, the square of the sum of two numbers is equal to the square of the first, plus twice their product, plus the square of the second. Thus, and = 42+2(4x3) + 32 = 49; x26) +462,... | |
 | Samuel Jackson - 1904 - 434 σελίδες
...Involution. In squaring and cubing numbers the following Algebraic principles are very useful : — (1) The square of the sum of two numbers is equal to the sum of the squares of the numbers 4- twice the product. (2) The square of the difference of two numbers... | |
 | John Henry Tanner - 1904 - 398 σελίδες
...+ b2.* This formula may be translated into words thus : the square of the sum of two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. etc. (ii) The square of the difference of two numbers.... | |
 | John William Hopkins, Patrick Healy Underwood - 1904 - 272 σελίδες
...product is the differa2 — ab ence of a(a — 6) and b(a—b). Hence, The square of the difference of two numbers is equal to the square of the first number minus twice the product of the first number and the second number plus the square of the second number.... | |
 | Arthur Schultze - 1905 - 396 σελίδες
...special mention : П. (а-6)2 = а2III. (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... | |
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That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. 
