| George Roberts Perkins - 1851 - 347 páginas
...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
...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
...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
...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 - 347 páginas
...=: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 - 220 páginas
...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 - 324 páginas
...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 - 324 páginas
...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
...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 - 422 páginas
...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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