What are the factors of 64x2 + 48x + 9?

Question

aroub · Answer

(8x+3)(8x+3)

aroub · Answer

= (8x+3)^2

anonymous · Answer

um can you show me the work so i can understand better please

aroub · Answer

There is MANY ways on how to factor. I'll show you my way. 

64x2 + 48x + 9    

What two number if you multiplied by each other you get 64x^2 ? 8x * 8x right ? 
so you put 8x in a bracket and the other 8x in a bracket like this : 

(8x+   ) (8x+   ) 

Now, what two number if you multiplied them by each other you get 9 ? 3*3 right ? 
so you put them in the brackets like this :

(8x+3) (8x+3) 

which is (8x+3)^2 

& for the signs they are all positive so the signs must be positive. 

How to check your answer ? 

|dw:1327861246593:dw|

Multiply 8x by 3 and the other 8x by 3 

8x*3= 24x 
8x*3=24x

Now add them 24x+24x = 48x 

Always when you add them you have to get the same number in the middle. 

Hope this helps :)