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Algebraic Techniques, SM-Bank 152

A rectangle has an area of \(9a^2-6a\). By factorising the expression, find the width of the rectangle if the length is \(3a\).  (2 marks)

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\(3a-2\)

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\(9a^2-6a\) \(=3a\times 3a+3a\times (-2)\ \ \ \ (\text{HCF}=3a)\)
  \(=3a(3a-2)\)

 
\(\therefore\ \text{Width of rectangle}=3a-2\)

Filed Under: Expand and Factorise Tagged With: num-title-ct-core, smc-4696-20-Factorise

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