 | Arthur Schultze - 1906 - 618 σελίδες
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. 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.... | |
 | John William Adamson - 1907 - 548 σελίδες
...formula being translated • into ordinary language and committed to memory in the latter form — eg the square of the sum of two numbers is equal to the sum of their squares added to twice their product. Memoriter work has become so discredited in recent... | |
 | John Henry Walsh - 1908 - 314 σελίδες
...+ 20 times 5 + 52 (20 + 5) times (20 + 5) = 202 + twice (20 x 5) + 52 ; or 400 + 200 + 25, or 625. 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.... | |
 | William James Milne - 1908 - 476 σελίδες
...that (a + 6) (a + 6) = a? + 2 ab + b2; also that (x + y)(x + y) = я? -\-2xy + f. 105. PRINCIPLE. — The square of the sum of two numbers is equal to the square of the first number, plus twice the product of t be first and second, pins the square of the... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 σελίδες
...a" is the square whose side is the line a. ab (a-bf nt> b(b> AREAS OF POLYGONS. ALGEBRAIC THEOREMS. The square of the sum of two numbers is equal to the sum of their squares plus twice their product. The product of the sum and the difference of two numbers... | |
 | Charles H. Gleason, Charles Benajah Gilbert - 1910 - 288 σελίδες
...= b, then (a + 6) 2 = a 2 + 6 2 + 2 ab. Prove it by finding the square of a + b by multiplication, The square of the sum of two numbers is equal to the sum of the squares of the numbers plus twice their product. 15=10 + 5. Then 15 2 = 10 2 + o 2 + 2 x... | |
 | Arthur Schultze - 1918 - 336 σελίδες
...the preceding type of examples deserve special mention : П. III. 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.... | |
 | Robert Louis Short, William Harris Elson - 1910 - 202 σελίδες
...(a + 6)2 ={f + 3 ab + 62. Or, stated in words : (o is the first number and 6 is the second number. ) Th,e 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 second.... | |
 | Frederick A. Smith - 1911 - 242 σελίδες
...thus instead of 00+06+06+66 write o*+2o6+6*. This expression also illustrates aft important principle that the square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice their product. To illustrate an application of this... | |
 | John Henry Walsh - 1911 - 234 σελίδες
...SQUARES OF NUMBERS The square of a quantity is obtained by employing the quantity twice as a factor. 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. 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. 
