Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 73
... reduction and simplification will be performed by the usual arithmetical rules . For the proofs of these rules the reader is referred to the Elementary Algebra for Schools , Chapter xv . Rule . To reduce a fraction to its lowest terms ...
... reduction and simplification will be performed by the usual arithmetical rules . For the proofs of these rules the reader is referred to the Elementary Algebra for Schools , Chapter xv . Rule . To reduce a fraction to its lowest terms ...
Σελίδα 74
... Reduction to a Common Denominator . 98. In order to find the sum or difference of any fractions , we must , as in Arithmetic , first reduce them to a common denominator ; and it is most convenient to take the lowest com- mon multiple of ...
... Reduction to a Common Denominator . 98. In order to find the sum or difference of any fractions , we must , as in Arithmetic , first reduce them to a common denominator ; and it is most convenient to take the lowest com- mon multiple of ...
Σελίδα 76
... reducing fractions to lowest terms . Moreover , in simplifying frac- tions he must remember that a factor can only be removed from numerator and denominator when it divides each taken as a whole . 6ax - cy Thus in c cannot be cancelled ...
... reducing fractions to lowest terms . Moreover , in simplifying frac- tions he must remember that a factor can only be removed from numerator and denominator when it divides each taken as a whole . 6ax - cy Thus in c cannot be cancelled ...
Σελίδα 122
... Reduce to lowest terms 24a3c2x2 18a3x2 - 12a2x3 The expression - 24a3c2x2 6a2x2 ( 3α - 2x ) 4ac2 = 3a - 2x Example 2. Reduce to lowest terms The expression 6x2 - Sxy 9xy - 12y2 2x ( 3x - 4y ) __ 2x 3y ( 3x - 4y ) 3y Note . The beginner ...
... Reduce to lowest terms 24a3c2x2 18a3x2 - 12a2x3 The expression - 24a3c2x2 6a2x2 ( 3α - 2x ) 4ac2 = 3a - 2x Example 2. Reduce to lowest terms The expression 6x2 - Sxy 9xy - 12y2 2x ( 3x - 4y ) __ 2x 3y ( 3x - 4y ) 3y Note . The beginner ...
Σελίδα 123
... reduced to its lowest terms by dividing both numerator and denomi- nator by the highest common factor , which may be found by the rules given in Chap . XVIII . Example . Reduce to lowest terms 3x3 13x2 + 23x - 21 15x3 - 38x - 2x + 21 ...
... reduced to its lowest terms by dividing both numerator and denomi- nator by the highest common factor , which may be found by the rules given in Chap . XVIII . Example . Reduce to lowest terms 3x3 13x2 + 23x - 21 15x3 - 38x - 2x + 21 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that 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.
Σελίδα 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.