Algebra for Schools and CollegesLongmans, Green & Company, 1895 - 309 páginas |
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... EXPRESSIONS 77 82 89 98 116 • 121 136 • 142 147 . XIX . ADDITION OF RADICALS 153 XX . SUBTRACTION OF RADICALS • 156 XXI . MULTIPLICATION OF RADICALS 158 · XXII . DIVISION OF RADICALS • · 161 XXIII . INVOLUTION AND EVOLUTION OF RADICALS ...
... EXPRESSIONS 77 82 89 98 116 • 121 136 • 142 147 . XIX . ADDITION OF RADICALS 153 XX . SUBTRACTION OF RADICALS • 156 XXI . MULTIPLICATION OF RADICALS 158 · XXII . DIVISION OF RADICALS • · 161 XXIII . INVOLUTION AND EVOLUTION OF RADICALS ...
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William Freeland. CHAPTER XXIV . IMAGINARY EXPRESSIONS XXV . QUADRATIC EQUATIONS XXVI . PROPERTIES OF QUADRATICS XXVII . SIMULTANEOUS EQUATIONS INVOLVING QUADRATICS XXVIII . RATIO , PROPORTION , AND VARIATION XXIX . ARITHMETICAL ...
William Freeland. CHAPTER XXIV . IMAGINARY EXPRESSIONS XXV . QUADRATIC EQUATIONS XXVI . PROPERTIES OF QUADRATICS XXVII . SIMULTANEOUS EQUATIONS INVOLVING QUADRATICS XXVIII . RATIO , PROPORTION , AND VARIATION XXIX . ARITHMETICAL ...
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... expression of one term . Thus , abc and - are monomials . 3y 2x 18. A Polynomial is an expression of more than one term . 3 Y 3 X 2 ย Thus , ab , c - d + e , x + 3y - 4z , and + polynomials . A Term is an expression not separated by + ...
... expression of one term . Thus , abc and - are monomials . 3y 2x 18. A Polynomial is an expression of more than one term . 3 Y 3 X 2 ย Thus , ab , c - d + e , x + 3y - 4z , and + polynomials . A Term is an expression not separated by + ...
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... expression is obtained by giving numerical values to the letters involved . = Thus , if a 10 , b = 20 , c 25 , d = 0 . = The numerical value of a + b is 30 , of ab is 200 , of a + 3b - 4 cd is 70 . 25. The Absolute Value of a number is ...
... expression is obtained by giving numerical values to the letters involved . = Thus , if a 10 , b = 20 , c 25 , d = 0 . = The numerical value of a + b is 30 , of ab is 200 , of a + 3b - 4 cd is 70 . 25. The Absolute Value of a number is ...
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... expressions : 1. a + b . 2. 3c +4 d . 3. 3 ab +9 c e . 4. abc 6 ced + 9 cd . - 5. a2 b2 + c2 . — 6. + - e2 . α b a2 b2 - 7. a2c2d2 — d2e3 + 4 cd . 8 . ― a2 + d2 a2 d2 a d 9 . + c + c + d e + b απ + 62 d2 10 . + d2 a3 + b2 11. a2 + 2 ab ...
... expressions : 1. a + b . 2. 3c +4 d . 3. 3 ab +9 c e . 4. abc 6 ced + 9 cd . - 5. a2 b2 + c2 . — 6. + - e2 . α b a2 b2 - 7. a2c2d2 — d2e3 + 4 cd . 8 . ― a2 + d2 a2 d2 a d 9 . + c + c + d e + b απ + 62 d2 10 . + d2 a3 + b2 11. a2 + 2 ab ...
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Algebra for Schools and Colleges (Classic Reprint) William Freeland Sin vista previa disponible - 2018 |
Términos y frases comunes
a²+2ab+b² a²b a²b² a²x a³b a³b² a³b³ ab+b² ab¹ ab² ab³ algebraic arithmetical ax² b²)² binomial factors Clearing of fractions coefficient common factor Complete divisor Completing the square continued fraction convergent cube root decimal divided divisor equal EXAMPLE EXERCISE exponent expression Extract the square Find the H. C. F. find the number form of x² formula given gives harmonical mean Hence integral last term least common Least Common Multiple letters logarithm mantissa minus mixed surd monomial Multiply numbers whose product numbers whose sum operation indicated parenthesis Perform the operation permutations polynomial positive integer quadratic equation quotient radical Reduce remainder result second terms Solve the following square root subtract Transpose and unite trinomial unknown quantities Va² x²y x²y² xy³
Pasajes populares
Página 20 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 21 - 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.
Página 217 - 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 271 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 220 - If three quantities are in continued proportion, the first is to the third as the square of the first is to the square of the second. Let a : b = b : c. Then, 2=*. b с Therefore, ^xb. = ^x± b с bb Or °r
Página 214 - In any proportion, the product of the means equals the product of the extremes.
Página 284 - For the first place can be filled in n ways, the second in n - 1 ways, the third place in n - 2 ways, and the rth place in n - (r - 1) ways.
Página 258 - If the coefficient of any term be multiplied by the exponent of a in that term, and the result divided by the exponent of x in the term increased by 1, the quotient will be the coefficient of the next following term.
Página 82 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.