Question

factorise 36a²+25+60a​

Answer 1

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Answer 2

Answer :-

(6a + 5)(6a + 5)

Solution :-

36a² + 25 + 60a

= 36a² + 60a + 25

It can be written as

= (6a)² + 60a + (5)²

[ Because 36a² = (6a)² and 25 = 5² ]

= (6a)² + 2(6a)(5) + (5)²

Now it is in the form of x² + 2xy + y²

We know that (x + y)² = x² + 2xy + y²

Here

• x = 6a

• y = 5

By substituting the values in the LHS of the identity

= (6a + 5)²

= (6a + 5)(6a + 5)