 | Roswell Park - 1847 - 626 sider
...x + a, we shall have (x + a)" = x2 + 2 ax -f- a" ; that is, the square of a binomial, is made up of the square of the first term, plus twice the product of the two terms, plus the square of the last term. This suggests the rule for extracting the square root... | |
 | Charles Davies - 1848 - 300 sider
...found. We have seen (Art. 38), that and comparing this square with the first and third forms, we sec that the first member in each contains two terms of...the first. If, then, we take half the coefficient ef x, viz : p, and square it, and add to both members, the equations take the form 2- -q +p3, in which... | |
 | Charles Davies - 1848 - 302 sider
...law by which these squares are formed can be enunciated thus : The square of any polynomial contains the square of the first term, plus twice the product of the first term by the second, plus the square of the second; plus twice the first two terms multiplied... | |
 | Joseph Ray - 1848 - 250 sider
...member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x2+2px as the first two terms... | |
 | Charles Davies - 1850 - 292 sider
...the unknown quantity may be found. We have seen (Art. 38), that and comparing this square with the first and third forms, we see that the first member...the first. If, then, we take half the coefficient of #, viz : p, and square it, and add to both members, the equations take the form p2=: — q -fp2, in... | |
 | Joseph Ray - 1852 - 408 sider
...member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x^-\-2px as the first two... | |
 | Elias Loomis - 1855 - 356 sider
...extracting the square root. Now we know that the square of a binomial, a;-fa, or a;'+ 2ax+a', is composed of the square of the first term, plus twice the product of the first term by the second, plus the square of the second term. Hence, considering x'+px as the first... | |
 | William Dexter Wilson - 1856 - 464 sider
...Properties of the Methods themselves. We say, for example, that the square of any Binomial, as a + 5, is the square of the first term plus twice the product of the two, plus the square of the second, or a? + lah + b*. And this is shown to be true from the nature... | |
 | Elias Loomis - 1856 - 280 sider
...root. Now we know that the square of a binomial, x+p, is x'+2px+p' ; that is, the square is composed of the square of the first term, plus twice the product of the first term by the second, plus the square of the second term. Hence, considering x'+2px as the first... | |
 | Charles Davies - 1859 - 324 sider
...which these squares are formed can be ешш oiated thus : The square of any polynomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second; plus twice the first two terms multiplied... | |
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Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second... 
