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Question
Factorise the following:
c2d – c2 – 4d + 4
Sum
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Solution
c2d – c2 – 4d + 4
Factor out c2 from the expression
c2 · (d – 1) – 4d + 4
Factor out –4 from the expression
c2 · (d – 1) – 4(d – 1)
Factor out d – 1 from the expression
(d – 1) · (c2 – 4)
Use a2 – b2 = (a – b)(a + b) to factor the expression
(d – 1) · (c – 2) · (c + 2)
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