Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 22
... method is used . Example . 5ab2 × 8a bx3 = 5aaabb × 8aabxxx = 40a3b3x3 . Note . The beginner must be careful to observe that in this pro- cess of multiplication the indices of one letter cannot combine in any way with those of another ...
... method is used . Example . 5ab2 × 8a bx3 = 5aaabb × 8aabxxx = 40a3b3x3 . Note . The beginner must be careful to observe that in this pro- cess of multiplication the indices of one letter cannot combine in any way with those of another ...
Σελίδα 26
... method may be used . For instance ( a − b + c ) m = = am― bm + cm ; replacing m by x - y , we have ( a − b + c ) ( x − y ) = a ( x − y ) −b ( x − y ) + c ( x − y ) - = ( ax - ay ) - ( bx− by ) + ( cx − cy ) = ax - ay - bx + by ...
... method may be used . For instance ( a − b + c ) m = = am― bm + cm ; replacing m by x - y , we have ( a − b + c ) ( x − y ) = a ( x − y ) −b ( x − y ) + c ( x − y ) - = ( ax - ay ) - ( bx− by ) + ( cx − cy ) = ax - ay - bx + by ...
Σελίδα 29
... methods already explained , it is of the utmost importance that the student should soon learn to write down the product rapidly by inspection . This is done by observing in what way the coefficients of the terms in the product arise ...
... methods already explained , it is of the utmost importance that the student should soon learn to write down the product rapidly by inspection . This is done by observing in what way the coefficients of the terms in the product arise ...
Σελίδα 64
... method of procedure is as follows : Represent the unknown quantity by a symbol , as x , and express in symbolical language the conditions of the question ; we thus obtain a simple equation which can be solved by the methods already ...
... method of procedure is as follows : Represent the unknown quantity by a symbol , as x , and express in symbolical language the conditions of the question ; we thus obtain a simple equation which can be solved by the methods already ...
Σελίδα 78
... methods for solving simul- taneous equations . In the present chapter we shall contine our attention to the simpler ... method of solution which best illustrates the meaning of the term simultaneous equation ; but in practice it will be ...
... methods for solving simul- taneous equations . In the present chapter we shall contine our attention to the simpler ... method of solution which best illustrates the meaning of the term simultaneous equation ; but in practice it will be ...
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.