Find the factors of the following expressions-5 b2-b c-a b-a c

B2 + bc + ab + ac We can factorise this expression as: nbsp; b2 + bc + ab + ac = (b2 + bc) + (ab + ac) = b (b + c) + a (b + c) = (b + c) (b + a) = (a + b)(b ...

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Standard VIII

Mathematics

Factorisation by Regrouping Terms

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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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Find the factors of the following expressions: (5) b2 + bc + ab + ac

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)

Find the factors of the following expressions:

(5) b² + bc + ab + ac

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)