An Easy Algebra for Beginners: Being a Simple, Plain Presentation of the Essentials of Elementary Algebra, and Also Adapted to the Use of Those who Can Take Only a Brief Course in this StudyUniversity Publishing Company, 1880 - 157 σελίδες |
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Σελίδα 5
... REDUCTION OF FRACTIONS TO LOWEST TERMS ........ 33 XII . REDUCTION OF FRACTIONS TO A COMMON DENOMINATOR . 35 XIII . ADDITION OF FRACTIONS . 282 283 28 20 23 37 XIV . SUBTRACTION OF FRACTIONS .. 39 XV . MULTIPLICATION OF FRACTIONS .. 41 ...
... REDUCTION OF FRACTIONS TO LOWEST TERMS ........ 33 XII . REDUCTION OF FRACTIONS TO A COMMON DENOMINATOR . 35 XIII . ADDITION OF FRACTIONS . 282 283 28 20 23 37 XIV . SUBTRACTION OF FRACTIONS .. 39 XV . MULTIPLICATION OF FRACTIONS .. 41 ...
Σελίδα 12
... Reduce the polynomial a Ga3b + Cab2 — 2b3 + - - 3ab2 + 6a2b + b3 — 4a * + 2a3b - to its simplest form . 7. Reduce 4ay ' 3xz + 8ab + 7xz 6ab + c + 8ay2 + - 4xz + Yab — c + Yay2 — 8xz - - 9ab to its simplest form . SECTION IN ...
... Reduce the polynomial a Ga3b + Cab2 — 2b3 + - - 3ab2 + 6a2b + b3 — 4a * + 2a3b - to its simplest form . 7. Reduce 4ay ' 3xz + 8ab + 7xz 6ab + c + 8ay2 + - 4xz + Yab — c + Yay2 — 8xz - - 9ab to its simplest form . SECTION IN ...
Σελίδα 33
... REDUCTION OF FRACTIONS TO LOWEST TERMS . 45. To reduce a fraction to its lowest terms . Rule . The same as in arithmetic : -- Divide the numer- ator and denominator of the fraction by their greatest common divisor . Ex . 1. Reduce ...
... REDUCTION OF FRACTIONS TO LOWEST TERMS . 45. To reduce a fraction to its lowest terms . Rule . The same as in arithmetic : -- Divide the numer- ator and denominator of the fraction by their greatest common divisor . Ex . 1. Reduce ...
Σελίδα 34
... Reduce 20a2x2 15a * x * to its lowest terms . Cancelling out like factors , we have 4 20 = 3 x2 4 3x2 * 15α 2ab Ex . 2. Reduce 3ab - 2ab b2 - 3ab 262 - Ex . 3. Reduce x2 9 -- ( 2a ( 3a b2 262 - - x2 9 -- to its lowest terms . 2a b ) b ...
... Reduce 20a2x2 15a * x * to its lowest terms . Cancelling out like factors , we have 4 20 = 3 x2 4 3x2 * 15α 2ab Ex . 2. Reduce 3ab - 2ab b2 - 3ab 262 - Ex . 3. Reduce x2 9 -- ( 2a ( 3a b2 262 - - x2 9 -- to its lowest terms . 2a b ) b ...
Σελίδα 35
... REDUCTION OF FRACTIONS TO A COMMON DENOMINATOR . 46. To reduce fractions to a common denominator . Rule . The same as in arithmetic : -Multiply each numerator by all the denominators , except its own , for new numerators , and the ...
... REDUCTION OF FRACTIONS TO A COMMON DENOMINATOR . 46. To reduce fractions to a common denominator . Rule . The same as in arithmetic : -Multiply each numerator by all the denominators , except its own , for new numerators , and the ...
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An Easy Algebra for Beginners: Being a Simple, Plain Presentation of the ... Charles Scott Venable Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
An Easy Algebra for Beginners: Being a Simple, Plain Presentation of the ... Charles Scott Venable Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+ added algebraic expressions algebraic quantities arithmetical means arithmetical progres arithmetical progression cent coefficient common denominator common difference common ratio complete square consecutive numbers decreasing arithmetical digits Divide dividend dollars equal exponent factors of x² Find a number Find the factors Find the L. C. M. Find the limit Find the number Find the square Find the sum Find the value Find two consecutive geometric means geometrical progres geometrical progression Give the rule greatest common divisor gression Hence least common multiple metical minus monomial number of terms numerical value perfect square proportion pure quadratic quadratic equation quotient radical sign recurring decimal Reduce remove brackets rule for finding Rule.-Multiply second degree SECTION simple equation simplest form Simplify simultaneous equations sion Solve square root subtract Take the square Transposing trinomial unknown letter unknown quantities ах
Δημοφιλή αποσπάσματα
Σελίδα 21 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 26 - 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.
Σελίδα 101 - In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means.
Σελίδα 136 - To what is the square of the difference of two quantities equal ? 82. To what is the product of the sum and difference of two quantities equal ? 83. How may the reciprocal of any quantity be expressed ? How may any factor be transferred from one term of a fraction to the other? In what other form may a"1 be written ? a—'
Σελίδα 74 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Σελίδα 64 - Three methods of elimination are usually given. such numbers as will make the coefficients of one of the unknowns the same in both.
Σελίδα 103 - Hence if any three terms of a proportion are given, the fourth may be found. Thus...
Σελίδα 108 - Multiply one half the sum of the first and last terms by the number of terms. Thus, the sum of eight terms of the series whose first term is 3 and last term 38 is 8 x * (3 + 38) = 164.
Σελίδα 82 - ... the divisor. Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.
Σελίδα 35 - ... thing, viz. 12 : so, likewise, 3 multiplied by 4 multiplied by 5 is 60, and will be 60 in whatever order we take them — -3 by 4 by 5, or 4 by 3 by 5, or 5 by 3 by 4 ; when, therefore, we have obtained one denominator, it is sufficient. Hence the usual rule to reduce fractions to a common denominator : Multiply each numerator by all the denominators except its own for new numerators, and all the denominators together for the common denominator. 6. We are now prepared to add two or more fractions...