Question

factorize each of the following expression. 36m²+60m+25​

Answer 1

Answer: (6m+5)(6m+5) is the solution

Step-by-step explanation:

Given,

36m^2+60m+25

=6^2 m+2x 6mx 5+5^2

This expression is in the form of identity

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

=6^2 m+(2x 6mx 5)+5^2

= (6m+5)(6m+5)

36m^2+60m+25=(6m+5)(6m+5)

Another method

1) Make the skelton(x  )(x  )=0

2) Add the signs

(i)if all the terms are positive:(x+  )(x+  )=0

(ii)if the center term is negative:(x-  )(x-  )=0

(iii)if the last term is negative(x+  )(x- )=0

(iv)if both the middle term and last term is negative(x+  )(x- )=0

3)Find the factors for last term should equal the middle term

4)Check work with FOIL method