 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.  School Algebra - Page 74by John Marvin Colaw - 1903 - 432 pagesFull view - About this book
 | George Roberts Perkins - Arithmetic - 1851 - 356 pages
...9. 48 2 =(40+8} 2 =40 2 +2 x 40.8+8 2 = 1600+640+64. From the above, we draw the following property: 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 into the second, plus the square of the second.... | |
 | Daniel Leach - Arithmetic - 1851 - 280 pages
...1600+400+25—2025 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 square of the two numbers, plus twice their product, or to the square of the tens, plus the square of the units,... | |
 | Daniel Leach - Arithmetic - 1853 - 622 pages
...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 pages
...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 - Arithmetic - 1855 - 388 pages
...=: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 square of the first number, plus twice the product of the first number into the second, plus the square of the teeond.... | |
 | John Radford Young - 1855 - 218 pages
...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 pages
...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 - Teaching - 1857 - 272 pages
...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 - Arithmetic - 1858 - 332 pages
...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... | |
 | Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...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 demands... | |
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