10 – Expand

This is the opposite of factorising and we multiply the common factor at the front of the brackets by the terms inside.

Expand:

 

Example 1:

3(2x – 5y + 1) = 6x – 15x + 3


Example 2:

2(2x2 – 4y) = 4x2 – 8y


Example 3:

2x(4x2 – 3x + 2) = 8x3 – 6x2 + 4x


Example 4:

2xy2( xy + 2x – 3y2) = 2x2y3 + 4x2y2 – 6xy4


Your Turn:

Q. Expand the following:

  1. 5(x + 2y) 
  2. 2x(3x – 4y)  
  3. 2x2(x + 1)

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