Question

9a2+12ab+4b2 factories the question
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Answer 1

Step-by-step explanation:

    9a²+12ab+4b²

=> (3a)²+2(3a)(2b)+(2b)²                 [∵ (a+b)² = a²+2ab+b²]

=  (3a+2b)²

= (3a+2b) (3a+2b)

Hope, it will help you.......

Answer 2

9a² + 12ab + 4b² = (3a + 2b)(3a + 2b)

Correct question : 9a² + 12ab + 4b² factorise the expression

Given :

The expression 9a² + 12ab + 4b²

To find :

To factorise the expression

Formula :

(a + b)² = a² + 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is 9a² + 12ab + 4b²

Step 2 of 2 :

Factorise the expression

We are aware of the identity that

(a + b)² = a² + 2ab + b²

Applying the above identity we get

9a² + 12ab + 4b²

= (3a)² + 2 × 3a × 2b + (2b)²

= (3a + 2b)²

= (3a + 2b)(3a + 2b)

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