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Algebraic Techniques, SMB-072

Simplify  `(9x^2)/(x+3) -: (3x)/(x^2-9)`.   (3 marks)

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`3x(x-3)`

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`(9x^2)/(x+3) -: (3x)/(x^2-9)` `=(9x^2)/(x+3) xx  (x^2-9)/(3x)`  
  `=(9x^2)/(x+3) xx  ((x-3)(x+3))/(3x)`  
  `=3x(x-3)`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-pathc, smc-4356-16-Divide

Algebraic Techniques, SMB-067

Factorise the expression  `(x^2-7x+12)/(x-3)`  (2 marks)

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`x-4`

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`(x^2-7x+12)/(x-3)` `=((x-3)(x-4))/(x-3)`  
  `=x-4`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-pathc, smc-4356-16-Divide

Algebraic Techniques, SMB-031

Simplify the expression  `(3a^2)/(12b^4) -: (9a^3)/(4b)`  (2 marks)

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`1/(9ab^3)`

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`(3a^2)/(12b^4) -: (9a^3)/(4b)` `=(3a^2)/(12b^4) xx (4b)/(9a^3)`  
  `=(3xxa^2 xx 4xxb)/(3 xx 4xxb^4xx3xx3xxa^3`  
  `=1/(9ab^3)`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-pathb, smc-4356-16-Divide

Algebraic Techniques, SMB-012

Simplify the expression  `(9h)/2 -: (h)/3`  (2 marks)

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`(27)/2`

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`(9h)/2 -: (h)/3` `=(9h)/2 xx 3/(h)`  
  `=(9h xx 3)/(2 xx h)`  
  `=(27)/2`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-corea, smc-4356-16-Divide

Algebraic Techniques, SMB-011

Simplify the expression  `(13x)/15 -: (2x)/5`  (2 marks)

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`(13)/6`

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`(13x)/15 -: (2x)/5` `=(13x)/15 xx 5/(2x)`  
  `=(13x xx 5)/(15 xx 2x)`  
  `=(13)/6`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-corea, smc-4356-16-Divide

Algebraic Techniques, SMB-010

Simplify the expression  `(3a)/4 -: (7a)/2`  (2 marks)

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`(3)/14`

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`(3a)/4 -: (7a)/2` `=(3a)/4 xx 2/(7a)`  
  `=(3a xx 2)/(4 xx 7a)`  
  `=(3)/14`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-corea, smc-4356-16-Divide

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