 | George Egbert Fisher - 1900 - 438 σελίδες
...actual multiplication, we have (a + b)z=(a + 6) (a + 6) = a2 + ab + ba + 6» = o3 +2 ab + б». 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... | |
 | James Harrington Boyd - 1901 - 818 σελίδες
...The first example gives the value of (a -)- b) (a -f- b), that is, of (aj-6)8; we thus find Hence, the, square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice the product of the first times the second. Again we have II.... | |
 | James Harrington Boyd - 1901 - 812 σελίδες
...The first example gives the value of (a -\- b) (a -f- b), that is, of (af b)"; we thus find Hence, the square of the sum of two numbers is equal to the sum of the squares of the two numbers plus twice the product of the ßrst_ times the second. Again we have II.... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 646 σελίδες
...Expression. 1. By actual multiplication, we have (e + 6)' = (a + *)(e + 6) = o2+ 2o6 + *'• 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... | |
 | George Egbert Fisher - 1901 - 622 σελίδες
...TYPE-FORMS IN MULTIPLICATION. The Square of a Binomial. 2, By actual multiplication, we have 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... | |
 | William James Milne - 1901 - 462 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 first number, plus twice the product of the first and second, plus the square of the... | |
 | John Appley Ferrell - 1901 - 432 σελίδες
...52+2xlO+22 = 25+20 + 4 = 49, result. These examples are illustrative of the following principle : PRINCIPLE: The square of the sum of two numbers is equal to the square of the first plus twice the product of the first times the second plus the square of the second.... | |
 | 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 square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | 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... | |
 | 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... | |
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The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. 
