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Algebraic Techniques, SMB-061

Factorise the expression  `5b^3-5b`  (2 marks)

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`5b(b+1)(b-1)`

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`5b^3-5b` `=5b(b^2-1)`  
  `=5b(b+1)(b-1)`  

Filed Under: Distributive Laws Tagged With: num-title-ct-pathc, smc-4357-50-Factorise, smc-4357-70-Difference of 2 squares

Algebraic Techniques, SMB-060

Expand and simplify the expression  `(a+b)^2-(a-b)^2`  (2 marks)

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`4ab`

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`(a+b)^2-(a-b)^2` `=a^2+2ab+b^2-(a^2-2ab+b^2)`  
  `=a^2+2ab+b^2-a^2+2ab-b^2`  
  `=4ab`  

Filed Under: Distributive Laws Tagged With: num-title-ct-pathc, smc-4357-60-Perfect squares, smc-4357-70-Difference of 2 squares

Algebraic Techniques, SMB-056

Expand and simplify the expression  `(2y-3)(2y+3)`  (2 marks)

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`4y^2-9`

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`(2y-3)(2y+3)` `=4y^2+6y-6y-9`  
  `=4y^2-9`  

Filed Under: Distributive Laws Tagged With: num-title-ct-pathc, smc-4357-70-Difference of 2 squares

Algebraic Techniques, SMB-055

Expand and simplify the expression  `(p-4q)(p+4q)`  (2 marks)

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`p^2-16q^2`

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`(p-4q)(p+4q)` `=p^2+4pq-4pq-16q^2`  
  `=p^2-16q^2`  

Filed Under: Distributive Laws Tagged With: num-title-ct-pathc, smc-4357-70-Difference of 2 squares

Algebraic Techniques, SMB-037

Expand and simplify the expression  `(2x-1)(2x+1)`  (2 marks)

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`4x^2-1`

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`(2x-1)(2x+1)` `=4x^2+2x-2x-1`  
  `=4x^2-1`  

Filed Under: Distributive Laws Tagged With: num-title-ct-pathc, smc-4357-40-Binomial expansion, smc-4357-70-Difference of 2 squares

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