 | George Roberts Perkins - 1851 - 356 σελίδες
...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... | |
 | Daniel Leach - 1853 - 622 σελίδες
...1600+400+25=2025 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... | |
 | 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... | |
 | 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 numbers is equal to the... | |
 | 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 square of the first number, plus twice the product of the first number into the second, plus the square... | |
 | Richard Dawes - 1857 - 272 σελίδες
...by 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
...the 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 to the squares of 20... | |
 | Benjamin Greenleaf - 1859 - 334 σελίδες
...additions without multiplying tho parts separately by the width ? ET*f G*t D F 8 20 20 # 20 5 r 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-\-5, its square is equal to the squares of 20... | |
 | Chambers W. and R., ltd - 1859 - 344 σελίδες
...method becomes the continuous one prescribed in the rule, the following proposition must be premised : The square of the sum of two numbers is equal to the squares of the two numbers, together with twice their product. Take any two numbers, as 20 and 5 ; their sum is 25,... | |
 | James Bates Thomson - 1860 - 440 σελίδες
...are three figures in the given number, there must be two figures in the root; (Art. 562. Obs. 2;) but the square of the sum of two numbers, is equal to the square of the first part ad led to twice the product of the two ptirts and the square of the last part;... | |
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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. 
