 | Daniel Leach - 1853 - 622 σελίδες
...40a=1600 2(40x5)=400 5a=25 1600+400+25=2025 284. Prom the preceding illustration it is evident that the square of the sum of two numbers is equal to the square of the two numbers, plus twice their product, or to the square of the tens, plus the square of the units,... | |
 | G. Ainsworth - 1854 - 216 σελίδες
...difference of two numbers is equal to the difference of their squares. II. (a + b}*=a? + 2ab + b2 ; that is, The square of the sum of two numbers is equal to the sum of their squares, plus twice their product. III. (a— b)2=ai— Zab + b2 ; that is, The square... | |
 | George Roberts Perkins - 1855 - 388 σελίδες
...=:902+2x90.3+32=8100+540+ 9. 482=(40+8)2=403+2x40.8 + 82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the...first number into the second, plus the square of the teeond. If we wish the square of the sum of three numbers, aa 6 +8 +9; we may unite the first and second... | |
 | John Radford Young - 1855 - 218 σελίδες
...a +6 a —6 a'— aft a +6 a -6 (a + b)(ab) -ab-V ' -ft' From these three results, we learn that 1. The square of the sum of two numbers is equal to the squares of the numbers themselves plus twice their product. 2. The square of the difference of two... | |
 | Daniel Leach - 1857 - 314 σελίδες
...402=1600 2(40x5)=400 52=25 1600+400+25=2025 284. From the preceding illustration it is evident that the square of the sum of two numbers is equal to the squafe of the two numbers, plus twice their product, or. to the square of the tens, plus the square... | |
 | Richard Dawes - 1857 - 272 σελίδες
...their difference is equal to the difference of their squares. (2.) That (a + 6)2 = aa+2aJ+62, or that the square of the sum of two numbers is equal to the sum of their squares, increased by twice their product. (3.) That (a— 6)2=a2 — 2o6 + 4= = a" +... | |
 | Benjamin Greenleaf - 1858 - 332 σελίδες
...additions without multiplying the parts separately by the width ? <! it D F 20 20 20 5 400 100 That 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-j- 5,ita square is equal... | |
 | Dana Pond Colburn - 1858 - 288 σελίδες
...twice the first plus the second, by the second, it follows that — (m.) The square of the sum of any two numbers is equal to the square of the first number plus the product of two factors, one of •which is the sum of twice the first number plus the second, and... | |
 | Dana Pond Colburn - 1859 - 288 σελίδες
...the square of the second, it follows that — (j.) The square of the sum of any two numbers equals the square of the first number plus twice the product of the first number by the second, plus the square of the second. ILLUSTRATIONS. (7 + 3)', or 10' - 7' + twice 7 times... | |
 | Silas Lawrence Loomis - 1859 - 324 σελίδες
...Do you understand its language ? Repeat Prin. 1 . Illustration. Inf 356. PRIN. 2. — THE SQUARE or 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. NOTE. — This principle... | |
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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. 
