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Question
Find the factors of the following expressions:
(8) m3 + m2 + m + 1
(8) m3 + m2 + m + 1
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Solution
m3 + m2 + m + 1
We can factorise this expression as:
m3 + m2 + m + 1
= (m3 + m2) + (m + 1)
= m2 (m + 1) + 1 (m + 1)
= (m + 1) (m2 + 1)
We can factorise this expression as:
m3 + m2 + m + 1
= (m3 + m2) + (m + 1)
= m2 (m + 1) + 1 (m + 1)
= (m + 1) (m2 + 1)
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