First Lessons in Algebra: Embracing the Elements of the ScienceWiley & Putnam, 1839 - 252 sider |
Inni boken
Resultat 1-5 av 15
Side 16
... affected with like exponents , are called similar terms . Thus , in the polynomial . 7ab + 3ab - 4a3b2 + 5a3b3 , the terms 7ab , and 3ab , are similar : and so also are the terms -4a3b2 and 5a3b2 , the letters and exponents in both ...
... affected with like exponents , are called similar terms . Thus , in the polynomial . 7ab + 3ab - 4a3b2 + 5a3b3 , the terms 7ab , and 3ab , are similar : and so also are the terms -4a3b2 and 5a3b2 , the letters and exponents in both ...
Side 17
... affected with the sign + . 1. John has 20 apples and gives 5 to William : how many has he left ? Now , let us represent the number of apples which John has by a , and the number given away by b : the number he would have left would then ...
... affected with the sign + . 1. John has 20 apples and gives 5 to William : how many has he left ? Now , let us represent the number of apples which John has by a , and the number given away by b : the number he would have left would then ...
Side 18
... affects only coefficients , and not the exponents . EXAMPLES . 1. Reduce to its simplest form the polynomial + 2a3bc2 - 4a3bc2 + 6a3bc2 — 8a3bc2 + 11a3bc2 . Find the sum of the additive and subtractive terms sepa- rately , and take ...
... affects only coefficients , and not the exponents . EXAMPLES . 1. Reduce to its simplest form the polynomial + 2a3bc2 - 4a3bc2 + 6a3bc2 — 8a3bc2 + 11a3bc2 . Find the sum of the additive and subtractive terms sepa- rately , and take ...
Side 28
... affected with the sign 2nd . The words subtraction and difference do not always convey the idea of diminution ; for , the numerical difference between a and b being a + b , exceeds a . This result is an algebraic difference , and can be ...
... affected with the sign 2nd . The words subtraction and difference do not always convey the idea of diminution ; for , the numerical difference between a and b being a + b , exceeds a . This result is an algebraic difference , and can be ...
Side 30
... affecting each letter with an exponent equal to the sum of the two exponents with which this letter is affected in the ... affected in the factor . 1 . 2 . 3 . EXAMPLES . 8a2bc27abd2 = 56a3b2c2d2 . 21a3b2cd8abc3 168a4b3c4d . 4abc x7df ...
... affecting each letter with an exponent equal to the sum of the two exponents with which this letter is affected in the ... affected in the factor . 1 . 2 . 3 . EXAMPLES . 8a2bc27abd2 = 56a3b2c2d2 . 21a3b2cd8abc3 168a4b3c4d . 4abc x7df ...
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First Lessons in Algebra: Embracing the Elements of the Science Charles Davies Uten tilgangsbegrensning - 1840 |
First Lessons in Algebra: Embracing the Elements of the Science Charles Davies Uten tilgangsbegrensning - 1839 |
First Lessons in Algebra: Embracing the Elements of the Science Charles Davies Uten tilgangsbegrensning - 1841 |
Vanlige uttrykk og setninger
algebraic quantities arithmetical means arithmetical progression binomial Binomial Theorem called cents common denominator common difference complete equation completing the square composed contain contrary sign cube decimal denotes Divide dividend division divisor dollars double product enunciation equation involving EXAMPLES exponent extracting the square fifth power figure find a number Find the square Find the sum Find the values following RULE four quantities fourth power geometrical progression Give the rule given number greater greyhound Hence last term least common multiple minus mixed quantity monomial Multiply negative number expressed number of terms obtain ounces of silver perfect square polynomial question quotient radical sign ratio Reduce remainder second degree second power second term simplest form square root Substituting this value take the equation tens third three terms tion transposing trinomial twice the product unknown quantity values of x Verification whence yards
Populære avsnitt
Side 230 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A ; B ; : C : D; and read, A is to B as C to D.
Side 231 - Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent is compared either with antecedent or consequent.
Side 155 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.
Side 233 - AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Side 175 - 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...
Side 138 - 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 But if any of the products should be greater than the dividend, diminish the last figure of the root.
Side 214 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans.
Side 35 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.
Side 214 - To find a number such that if you subtract it from 10, and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3.
Side 230 - Of four proportional quantities, the first and third are called the antecedents, and the second and fourth the consequents ; and the last is said to be a fourth proportional to the other three taken in order...