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Question

Factorise the term a2+bc+ab+ac


A

(a+b2)(a+c).

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B

(a+b)(a+c).

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C

(a2+b)(a+c).

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D

(a+b)(ac).

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Solution

The correct option is B

(a+b)(a+c).


The expression is a2+bc+ab+ac
By suitably rearranging the terms, we have;

=a2+ab+ac+bc

=a(a+b)+c(a+b)

=(a+b)(a+c).


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