Question

factorise the following expression 25m2+30m+9

Answer 1

 25m2 + 30 m + 9 = (5m)2 + (5m)(3) + (3)2 =
= (5m + 3)(5m + 3)
∴ 25m2 - 30m + 9 =
= (5m + 3)(5m + 3)
M=5/3,5/3

Answer 2

Explanation:

The given equation is a quadratic equation in the form of $ax^2+bx+c$. It is required to factorise the given equation as :

$25m^2+30m+9$

We know that, 5² = 25 and 3² = 9

⇒ $(5m)^2+2(5m)(3)+(3)$

Using the identity as :

$a^2+2ab+b^2=(a+b)^2$

$(5m)^2+2(5m)(3)+(3)=(5m+3)^2$

So, the factors of the given expression are :

(5m+3) and (5m+3)

Hence, this is the required solution.