 | Alexander Malcolm - 1730 - 702 sider
...one of them • and the Product of thé other into the Sum of this other and double the former. Alfo the Square of the Difference of two Numbers is equal to the Difference of the Square of one of them, and the Product of the other into, the Difference of this... | |
 | George Peacock - 1842 - 426 sider
...whatsoever. The square 64. To form the square of a - b. ofa-b. a - b a -ft a8- ah - ab + b* = (a Or the square of the difference of two numbers is equal to the excess of the sum of the squares of those numbers above twice their product. Thus, ( 5-S)* = 2* = 4=... | |
 | George Roberts Perkins - 1849 - 346 sider
...482=(40+8)2=402+2 x 40.8+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 second. If we wish... | |
 | Stephen Chase - 1849 - 348 sider
...(a+(— J)) 3= (a— b) 2= a2+2a(— J)+(— b) 2 —a2—Zab +fi3 [§ 11. N. 2.]. Hence, THEOR. II. The square of the difference of two numbers is equal to the sum of their squares, MINUS twice their product. See Geom. § 183. Cor. vu. Multiply a — b by a —... | |
 | George Roberts Perkins - 1849 - 344 sider
...6 + 8, is equal to 6 2 + 2x 6.8 + S 2 , which result may be thus expressed : 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. If we wish... | |
 | George Roberts Perkins - 1850 - 356 sider
...as 6 + 8, is equal to 6" + 2x 6.8 + 83, which result may be thus expressed : 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' If we wish... | |
 | George Roberts Perkins - 1850 - 364 sider
...482=(40+8)2=402+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 second. If we wish... | |
 | George Roberts Perkins - 1851 - 356 sider
...+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. If we wish... | |
 | G. Ainsworth - 1854 - 216 sider
...equal to the sum of their squares, plus twice their product. III. (a— b)2=ai— Zab + b2 ; that is, The square of the difference of two numbers is equal to the sum of their squares, minus twice their product. IV. (a+b)2— (a — 6)^=4aJ ; that is, The square... | |
 | George Roberts Perkins - 1855 - 388 sider
...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. If we wish... | |
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Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. 
