Question

a^2+2b+ab+2a factorise

Answer 1

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Answer 2

Given,

The expression: (a²+2b+ab+2a)

To find,

The factors of the given expression.

Solution,

The factors of (a²+2b+ab+2a) will be (a+2)(a+b).

According to the question,

The expression: (a²+2b+ab+2a)

Rearranging the terms in the following way:

a²+2a+ab+2b

Now, we can factorise it by taking out the common factors.

Taking a common from the first two terms and b common from the last two terms,

a(a+2)+b(a+2)

Taking (a+2) common,

(a+2) (a+b)

Hence, the factors of (a²+2b+ab+2a) are (a+2)(a+b).