 | 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 5 x 10 = 225.... | |
 | 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 is... | |
 | Charles H. Gleason - 1910 - 536 σελίδες
...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 152 = 102 + 52 + 2 x 5 x 10 = 225. Find the square of 16. 162 = 102+62 + 2 xlO x6.... | |
 | 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
...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 multiply... | |
 | William James Milne - 1911 - 378 σελίδες
...second term obtained ? the third term ? 3. What signs have the terms of the result? 85. PRINCIPLE. — The square of the sum of two numbers is equal to the square of the firat number, plus twice the product of the first and second, plus the square of the... | |
 | 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... | |
 | John William Hopkins, Patrick Healy Underwood - 1912 - 362 σελίδες
...+ b The required product is the sum of b aa + i and &a+S. Hence, (a + 6)2 = a2 + 2 ab + №. Hence, The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first number and the second number plue the... | |
 | John William Hopkins, Patrick Healy Underwood - 1912 - 406 σελίδες
...and b. Therefore, (a + b)2 = a2 + 2 ab + b*. This equation expresses in mathematical language that 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 number. Example... | |
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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. 
