Question

factorise the following factorise the following
25m square +30m+9​

Answer 1

Step-by-step explanation:

I hope that it will help you

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

=>25m²+30m+9

It is in the form of a quadratic equation so,we simply factorise it by splitting method.

How to factorise..??

25m²+30m+9

The coefficient of m² is 25

7x is a middle term and its coefficient is 30.

and the constant" is +9

Step-1 : Multiply the coefficient of m² by the constant 9×25= 225

Step-2 : Find two factors of 225 whose sum is equal to the coefficient of the middle term, which is 30.

=>25m²+30m+9

=>25m²+15m+15m+9

=>5m(5m+3)+3(5m+3)

=>(5m+3)(5m+3)=0

5m+3=0

=>m= -3/5

Alternative Method by quadratic formula:

a=25,b= 30 and c = 9

m= -b±√b²-4ac/2a

m=-30±√(30)²-4(25)(9)/2(25)

m=-30±√900-900/50

m=-30±√0/50

m=-30/50

m= -3/5