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How to Factorise help!!!!!!!!!!!!

+2 votes

4a^2-4a+1?

asked Feb 25, 2013 in ALGEBRA 1 by homeworkhelp Mentor

1 Answer

+2 votes

Given that      4a2-4a+1

Now solve the factors method

Look at the product of the first and last coefficients: (4)(1) =  4.

We want two factors of  4 whose sum middle coefficient of-4, and they are -2 and -2.

=  4a2 -2a -2a +1

Take out common terms 2a , -1

= 2a(2a-1) -1(2a-1)

Take out common  factor (2a-1)

=(2a-1)(2a-1) 

There fore given (4a2-4a+1) factors (2a-1) (2a-1).

            (or)

Given that  (4a2 -4a+1)

[(2a)2-2.2a.1+(1)2]

compare that equation with mathematical index formula (a2 -2ab+b2) = (a-b)2 

a=2a  and b=1

(a-b)2 =( 2a-1)2

(4a2-4a+1) factor  (2a-1)2     

answered Feb 25, 2013 by ferguson Rookie

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