Elementary Algebra: Designed as a First Book of Algebra for All Grades of StudentsPorter & Coates, 1879 - 272 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b a²x a²x² a³x ab² added algebraic ax² ax³ binomial Binomial Theorem cents Clearing of fractions coefficient complete the square cube root digits Divide dividend division divisor eliminate entire quantity equation containing exponent factor Find the value following equations following expressions following pairs give Hence least common multiple letters lowest terms MENTAL EXERCISE minuend minus mixed quantities monomial Multiply nator NOTE.-If number of dollars number of miles operation pairs of equations parenthesis perfect square polynomial QUADRATIC EQUATIONS quotient radical sign ratio Reduce the following remainder represent the number result Rule.-I second term SECTION sheep SOLUTION Solve the following square root Substituting subtracted subtrahend Taking the square Theorem Transposing and collecting unknown quantities WRITTEN EXAMPLES x²y x²y² x³y xy² xy³ yards ах
Δημοφιλή αποσπάσματα
Σελίδα 86 - 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 86 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 224 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend. To find the power of a power, multiply the exponents.
Σελίδα 101 - The Least Common Multiple of two or more numbers is the least number that...
Σελίδα 179 - The coefficient of the first term of the expansion is unity ; of the second, the exponent of the required power ; and that of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1.
Σελίδα 178 - The coefficient of the second term is the same as the exponent of the power to which the binomial is raised.
Σελίδα 115 - Multiplying or dividing both terms of a fraction by the same quantity does not change the value of the fraction.
Σελίδα 236 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Σελίδα 236 - To find an extreme, divide the product of the means by the given extreme. To find a mean, divide the product of the extremes by the given mean.
Σελίδα 106 - Hence, a fraction is said to be reduced to its lowest terms, when its numerator and denominator are expressed in the smallest numbers possible.