Question

How
to factorise easily the 4a^2+9b^2+25+12ab+30b+20a

Answer 1

Answer:

please refer to the attachment

I hope it would help you

thank you

Answer 2

4a² + 9b² + 25 + 12ab + 30b + 20a = (2a + 3b + 5)(2a + 3b + 5)

Given :

4a² + 9b² + 25 + 12ab + 30b + 20a

To find :

To factorise the expression

Formula :

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

4a² + 9b² + 25 + 12ab + 30b + 20a

Step 2 of 2 :

Factorise the expression

We are aware of the formula that

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Thus we get ,

4a² + 9b² + 25 + 12ab + 30b + 20a

= (2a)² + (3b)² + (5)² + 2.2a.3b + 2.3b.5 + 2.2a.5

= (2a + 3b + 5)²

= (2a + 3b + 5)(2a + 3b + 5)

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