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Question

Find the factors of the following expressions:

(5) b2 + bc + ab + ac

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Solution

b2 + bc + ab + ac
We can factorise this expression as:
b2 + bc + ab + ac
= (b2 + bc) + (ab + ac)
= b (b + c) + a (b + c)
= (b + c) (b + a)
= (a + b)(b + c)

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