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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-059

Expand and simplify the expression  `(4-7x)^2`  (2 marks)

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`49x^2-56x+16`

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`(4-7x)^2` `=(4-7x)(4-7x)`  
  `=16-28x-28x+49x^2`  
  `=49x^2-56x+16`  

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

Algebraic Techniques, SMB-058

Expand and simplify the expression  `(c-2)^2`  (2 marks)

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`c^2-4c+4`

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`(c-2)^2` `=(c-2)(c-2)`  
  `=c^2-2c-2c+4`  
  `=c^2-4c+4`  

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

Algebraic Techniques, SMB-057

Expand and simplify the expression  `(2x-5)^2`  (2 marks)

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`4x^2-20x+25`

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`(2x-5)^2` `=(2x-5)(2x-5)`  
  `=4x^2-10x-10x+25`  
  `=4x^2-20x+25`  

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

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