Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα
... REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ELEMENTARY RULES IX . SIMPLE EQUATIONS • X. SYMBOLICAL EXPRESSION XI . PROBLEMS LEADING TO SIMPLE EQUATIONS XII . HIGHEST COMMON FACTOR , LOWEST COMMON ...
... REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ELEMENTARY RULES IX . SIMPLE EQUATIONS • X. SYMBOLICAL EXPRESSION XI . PROBLEMS LEADING TO SIMPLE EQUATIONS XII . HIGHEST COMMON FACTOR , LOWEST COMMON ...
Σελίδα 12
... removed without making any change in the expression . - 25. The expression a ( b + c ) means that from a we are to take the sum of b and c . The result will be the same whether b and c are subtracted separately or in one sum . - a− ( b ...
... removed without making any change in the expression . - 25. The expression a ( b + c ) means that from a we are to take the sum of b and c . The result will be the same whether b and c are subtracted separately or in one sum . - a− ( b ...
Σελίδα 16
... removing brackets . [ Art . 25. ] Thus and 3a - ( -- 5a ) = 3a + 5a = 8a , -3a - ( - 5a ) = −3a + 5a = 2a ... removal of the brackets the like terms are combined by the rules already exclaimed in Art . 20 . It is , however , more ...
... removing brackets . [ Art . 25. ] Thus and 3a - ( -- 5a ) = 3a + 5a = 8a , -3a - ( - 5a ) = −3a + 5a = 2a ... removal of the brackets the like terms are combined by the rules already exclaimed in Art . 20 . It is , however , more ...
Σελίδα 37
... ab - 9 - b4 + 3b3 + 3b - a1 - 3a3 - 3a by 3 - b + a3 . 38. x8 + 1 by x3 + x2 + x + 1 . 40. x - 6x - 8x3 - 1 by x3- 2x – 1 . 39. 2a6 + 2 by a3 + 2a2 + 2a + 1 . CHAPTER VII . REMOVAL AND INSERTION OF BRACKETS . 54. VI . ] 37 DIVISION .
... ab - 9 - b4 + 3b3 + 3b - a1 - 3a3 - 3a by 3 - b + a3 . 38. x8 + 1 by x3 + x2 + x + 1 . 40. x - 6x - 8x3 - 1 by x3- 2x – 1 . 39. 2a6 + 2 by a3 + 2a2 + 2a + 1 . CHAPTER VII . REMOVAL AND INSERTION OF BRACKETS . 54. VI . ] 37 DIVISION .
Σελίδα 38
... removed without making any change in the expression . - When an expression within brackets is preceded by the sign the brackets may be removed if the sign of every term within the brackets be changed . Example . Simplify , by removing ...
... removed without making any change in the expression . - When an expression within brackets is preceded by the sign the brackets may be removed if the sign of every term within the brackets be changed . Example . Simplify , by removing ...
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.