Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 12
... changed . Addition of Unlike Terms . 26. When two or more like terms are to be added together we have seen that they may be collected and the result expressed as a single like term . If , however , the terms are unlike they cannot be ...
... changed . Addition of Unlike Terms . 26. When two or more like terms are to be added together we have seen that they may be collected and the result expressed as a single like term . If , however , the terms are unlike they cannot be ...
Σελίδα 17
... changed . by addition , 4a - 3b + 5c -3a + 2b + c a- b + 6c The like terms are written in the same vertical column , and each column is treated separately . Rule . Change the sign of every term in the expression to be subtracted , and ...
... changed . by addition , 4a - 3b + 5c -3a + 2b + c a- b + 6c The like terms are written in the same vertical column , and each column is treated separately . Rule . Change the sign of every term in the expression to be subtracted , and ...
Σελίδα 24
... changed ; the first operation gives 12 , and the second +12 . Thus ( -3 ) x ( -4 ) +12 . Hence , multiplication by a negative quantity indicates that we are to proceed just as if the multiplier were positive , and then change the sign ...
... changed ; the first operation gives 12 , and the second +12 . Thus ( -3 ) x ( -4 ) +12 . Hence , multiplication by a negative quantity indicates that we are to proceed just as if the multiplier were positive , and then change the sign ...
Σελίδα 38
... changed . Example . Simplify , by removing brackets , the expression ( 2a - 3b ) – ( 3a + 4b ) − ( b − 2a ) . The expression = 2a - 3b - 3a - 4b - b + 2a = a - Sb , by collecting like terms . 55. Sometimes it is convenient to enclose ...
... changed . Example . Simplify , by removing brackets , the expression ( 2a - 3b ) – ( 3a + 4b ) − ( b − 2a ) . The expression = 2a - 3b - 3a - 4b - b + 2a = a - Sb , by collecting like terms . 55. Sometimes it is convenient to enclose ...
Σελίδα 40
... term within the brackets be changed . Examples . - a - b + c - d - e = a − ( b − c ) - ( d + e ) . xy - ax - by + ab = ( xy – by ) − ( ax – ab ) . 60. The terms of an expression can be bracketed in 40 [ CHAP . ALGEBRA .
... term within the brackets be changed . Examples . - a - b + c - d - e = a − ( b − c ) - ( d + e ) . xy - ax - by + ab = ( xy – by ) − ( ax – ab ) . 60. The terms of an expression can be bracketed in 40 [ CHAP . ALGEBRA .
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.