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Algebraic Techniques, SM-Bank 060

Simplify the following algebraic expressions, giving your answer in simplest form.

  1. \(-3mn\times 2m\)  (1 mark)

  2. \(4a^2b\times (-3b)\)  (1 mark)

  3. \(-8cd\times (-2d)\)  (1 mark)

  4. \(4a^2b\times 3abc\)  (2 marks)

Show Answers Only

a.    \(-6m^2n\)

b.    \(-12a^2b^2\)

c.    \(16cd^2\)

d.    \(12a^3b^2c\)

Show Worked Solution
a.    \(-3mn\times 2m\)  \(=-3\times 2\times m\times n\times m \)
    \(=-6m^2n\)

 

b.    \(4a^2b\times (-3b)\)  \(=4\times -3\times a\times a\times b\times b \)
    \(=-12a^2b^2\)

 

c.    \(-8cd\times (-2d)\) \(=-8\times -2\times c\times d\times d \)
    \(=16cd^2\)

 

d.    \(4a^2b\times 3abc\)  \(=4\times 3\times a\times a\times b\times a\times b\times c \)
    \(=12a^3b^2c\)