An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 2
... multiplied together . A point is often used instead of this sign , or , when the quantities to be multiplied together are represented by letters , the sign may be altogether omitted . Thus 3 x 5 x 7 , or 3.5.7 is the continued product ...
... multiplied together . A point is often used instead of this sign , or , when the quantities to be multiplied together are represented by letters , the sign may be altogether omitted . Thus 3 x 5 x 7 , or 3.5.7 is the continued product ...
Page 3
... multiplied a certain number of times by itself , pro- duces the given quantity ; and the index of the root is the number of times which the root is contained as a factor in the given quantity . The sign is called the radical sign , and ...
... multiplied a certain number of times by itself , pro- duces the given quantity ; and the index of the root is the number of times which the root is contained as a factor in the given quantity . The sign is called the radical sign , and ...
Page 10
... Multiply a b by c d e . Ans . abcde . 2. Find the continued product of 3 a b , 2 cd , and e f g . 3. Multiply am by a " . Ans . 6 abcdefg . Ans . am + n . 4. Find the continued product of 5 a3 , a7 , 7 a3 , and 3 ao . Ans . 105 a21 . 5 ...
... Multiply a b by c d e . Ans . abcde . 2. Find the continued product of 3 a b , 2 cd , and e f g . 3. Multiply am by a " . Ans . 6 abcdefg . Ans . am + n . 4. Find the continued product of 5 a3 , a7 , 7 a3 , and 3 ao . Ans . 105 a21 . 5 ...
Page 11
... multiplied by B it is taken as many times too often as there are units in D ; so that the required product must be ... multiplying each term of one factor by each term of the other , as in art . 28 , and the product of two terms which ...
... multiplied by B it is taken as many times too often as there are units in D ; so that the required product must be ... multiplying each term of one factor by each term of the other , as in art . 28 , and the product of two terms which ...
Page 12
... Multiply 22+ y2 by x + y . Ans . x3 + x2 y + x y2 + y3 . 2. Multiply x5 + xy6 +7 ax by a x +5 a x . Ans . 6 a x6 + 6 a x2 y6 +42 a2 x2 . 3. Multiplya by b . 4. Multiply a by —b . 5. Multiply a by - b . Ans . -ab . Ans . a b . -- Ans ...
... Multiply 22+ y2 by x + y . Ans . x3 + x2 y + x y2 + y3 . 2. Multiply x5 + xy6 +7 ax by a x +5 a x . Ans . 6 a x6 + 6 a x2 y6 +42 a2 x2 . 3. Multiplya by b . 4. Multiply a by —b . 5. Multiply a by - b . Ans . -ab . Ans . a b . -- Ans ...
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Common terms and phrases
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence