An Elementary Treatise on Algebra: For the Use of Students in High Schools and CollegesSanborn, Carter, Bazin, 1841 - 300 páginas |
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Página 25
... find the difference , we must subtract 30 from 100 , which leaves 70. But , as in algebra most of the operations can only be represented , let us see how we can represent the prece- ding subtraction . Instead of 100 put its equivalent ...
... find the difference , we must subtract 30 from 100 , which leaves 70. But , as in algebra most of the operations can only be represented , let us see how we can represent the prece- ding subtraction . Instead of 100 put its equivalent ...
Página 32
... Find the product of 10 a3 , 3 a b2 , and 7 a b c . 18. Find the product of 3 c2 x , 2 xy , and 9p x ** m x2 y5 . 19. Find the product of x2 32 VIL MULTIPLICATION OF MONOMIALS .
... Find the product of 10 a3 , 3 a b2 , and 7 a b c . 18. Find the product of 3 c2 x , 2 xy , and 9p x ** m x2 y5 . 19. Find the product of x2 32 VIL MULTIPLICATION OF MONOMIALS .
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... Find the product of x2 y2 , 6axy , and 7px3 y1 . 20. Find the product of a5 m2 , a x2 y2 , and 12 a m SECTION VIII . REDUCTION OF SIMILAR TERMS . Art . 20. When several monomials are connected together by the signs and , they form a ...
... Find the product of x2 y2 , 6axy , and 7px3 y1 . 20. Find the product of a5 m2 , a x2 y2 , and 12 a m SECTION VIII . REDUCTION OF SIMILAR TERMS . Art . 20. When several monomials are connected together by the signs and , they form a ...
Página 46
... Find the second power of a - b . Operation . a - b - b a a2 a b a b + b2 a2 - 2ab + b2 . This differs from the second power of a + b only in the sign of 2 a b , twice the product of the two quantities , which is in this case minus . 64 ...
... Find the second power of a - b . Operation . a - b - b a a2 a b a b + b2 a2 - 2ab + b2 . This differs from the second power of a + b only in the sign of 2 a b , twice the product of the two quantities , which is in this case minus . 64 ...
Página 47
... find the product ; whereas , in division , one factor and the product , that is , the divisor and dividend , are given , and it is required to find the other factor or quotient . Division then is the reverse of multiplication ; and it ...
... find the product ; whereas , in division , one factor and the product , that is , the divisor and dividend , are given , and it is required to find the other factor or quotient . Division then is the reverse of multiplication ; and it ...
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Términos y frases comunes
3d power 3d root a² b² a² b³ a³ b³ added algebra ALGEBRAIC QUANTITIES antecedents arithmetical binomial bushels cent changing the signs coëfficient contain decimal degree Divide dividend division equal equation equidifference example expressed factors fifth power figures Find the 3d Find the 4th Find the third formula gives greater greatest common divisor Hence inequality integral quantity irrational quantities last term least common multiple less Let the learner logarithm manner mean proportionals monomial mth power negative quantity number of terms numerator and denominator obtain polynomial preceding progression by difference progression by quotient quan question radical sign ratio remainder Required the numbers result rods second power second root SECTION Simplify square Substitute subtract Suppose third power third root tity twice unknown quantity vulgar fraction whole number
Pasajes populares
Página 48 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Página 52 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 139 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 25 - A shepherd in time of war was plundered by a party of soldiers, who took \ of his flock and \ of a sheep ; another party took from him \ of what he had left and \ of a sheep ; then a third party took \ of what now remained and J of a sheep.
Página 228 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 124 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Página 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Página 262 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 225 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 3 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.