University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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... Greatest Common Divisor ... 46 Least Common Multiple .... 653 53 CHAPTER IV . Fractions - Definitions ... Transformations .... Addition of Fractions . Subtraction of Fractions . 58 60 68 70 Multiplication of Fractions ... 71 Division of ...
... Greatest Common Divisor ... 46 Least Common Multiple .... 653 53 CHAPTER IV . Fractions - Definitions ... Transformations .... Addition of Fractions . Subtraction of Fractions . 58 60 68 70 Multiplication of Fractions ... 71 Division of ...
Página 45
... Ans . 2x2 ( a + b ) ( a - b ) . Ans . a2 ( bc ) 2 = ( a + b − e ) ( a + c − b ) . - - - Ans . a- ( 3ab + c2 ) 2 = ( a2 + зab + c2 ) ( a2 - 3ab - c2 ) . CHAPTER III . GREATEST COMMON DIVISOR , AND LEAST COMMON FACTORING . 45.
... Ans . 2x2 ( a + b ) ( a - b ) . Ans . a2 ( bc ) 2 = ( a + b − e ) ( a + c − b ) . - - - Ans . a- ( 3ab + c2 ) 2 = ( a2 + зab + c2 ) ( a2 - 3ab - c2 ) . CHAPTER III . GREATEST COMMON DIVISOR , AND LEAST COMMON FACTORING . 45.
Página 46
... GREATEST COMMON DIVISOR , AND LEAST COMMON MULTIPLE GREATEST COMMON DIVISOR . 41. A COMMON DIVISOR of two quantities , is a quan tity that will divide them both without a remainder . Thus , 3a2b , is a common divisor of 9a2b2c and 3a2b2 ...
... GREATEST COMMON DIVISOR , AND LEAST COMMON MULTIPLE GREATEST COMMON DIVISOR . 41. A COMMON DIVISOR of two quantities , is a quan tity that will divide them both without a remainder . Thus , 3a2b , is a common divisor of 9a2b2c and 3a2b2 ...
Página 47
... greatest common divisor of 4a2c and 3a2g3agx . Ans . a ( ax ) , or a2 6. Find the greatest common divisor of a3 x2 - y2 . - -- 4αcx ax . y3 and Ans . x - y . 7. Find the greatest common divisor of 4c2 12cx +92 GREATEST COMMON DIVISOR 47.
... greatest common divisor of 4a2c and 3a2g3agx . Ans . a ( ax ) , or a2 6. Find the greatest common divisor of a3 x2 - y2 . - -- 4αcx ax . y3 and Ans . x - y . 7. Find the greatest common divisor of 4c2 12cx +92 GREATEST COMMON DIVISOR 47.
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... greatest common divisor of 4c2 12cx +92 and 4c2 9x2 . - 3x . Ans . 2c - Ans . 4ax3 — 4axy1 4ax2 - 4ay2 . 8. Find the greatest common divisor of and 12a2x2-12a2y2 . 9. Find the greatest common divisor of 2α3x + 4a2bx + 2ab2x and 4a2x3 + ...
... greatest common divisor of 4c2 12cx +92 and 4c2 9x2 . - 3x . Ans . 2c - Ans . 4ax3 — 4axy1 4ax2 - 4ay2 . 8. Find the greatest common divisor of and 12a2x2-12a2y2 . 9. Find the greatest common divisor of 2α3x + 4a2bx + 2ab2x and 4a2x3 + ...
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Términos y frases comunes
algebraic Arithmetic ax² Binomial Formula Clearing of fractions coefficients common difference containing contrary signs cube root Davies denominator denote the number distance dividend divisible equal roots equation whose roots EXAMPLES exponent expressions Extract the square factors Find the cube Find the fourth Find the greatest Find the square following RULE geometrical progression given equation greatest common divisor Hence imaginary indicated irreducible fraction last term least common multiple Let x denote logarithm miles monomial Multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quotient radical sign real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root STURM'S THEOREM Substituting subtract third Transform the equation Transposing travels unknown quantity Whence whole number write X₁
Pasajes populares
Página 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Página 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 36 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 81 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 231 - If four quantities are in proportion, they will be in proportion by COMPOSITION...
Página 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.