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Algebraic Techniques, SM-Bank 059

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

  1. \(4pq\times 6r\)  (1 mark)

  2. \(3m\times m\)  (1 mark)

  3. \(7x\times 3x\)  (1 mark)

  4. \(2ab\times 3bc\times c\)  (1 mark)

Show Answers Only

a.    \(24pqr\)

b.    \(3m^2\)

c.    \(21x^2\)

d.    \(6ab^2c^2\)

Show Worked Solution
a.    \(4pq\times 6r\)  \(=4\times 6\times p\times q\times r \)
    \(=24pqr\)

 

b.    \(3m\times m\)  \(=3\times m\times m \)
    \(=3m^2\)

 

c.    \(7x\times 3x\) \(=7\times 3\times x\times x \)
    \(=21x^2\)

 

d.    \(2ab\times 3bc\times c\)  \(=2\times 3\times a\times b\times b\times c\times c \)
    \(=6ab^2c^2\)