What is the factored form of 25b^2-60b+36

Rewrite  

25

b

2

as  

(

5

b

)

2

.

(

5

b

)

2

−

60

b

+

36

Rewrite  

36

as  

6

2

.

(

5

b

)

2

−

60

b

+

6

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

5

b

)

⋅

−

6

Simplify.

2

a

b

=

−

60

b

Factor using the perfect square trinomial rule  

a

2

−

2

a

b

+

b

2

=

(

a

−

b

)

2

, where  

a

=

5

b

and  

b

=

−

6

.

(

5

b

−

6

)

2

Step-by-step explanation:

65b-60b+36=5b+36