Question

factor 16r2-8r+1

Answer 1

really??
ok i'll try a different way, a perfect square is defined as this
(a-b)^2 = a^2 -2ab +b^2

so for it to be a perfect square, the 1st and last coefficients must be perfect squares
and the middle number must be twice the product of their roots.
16 and 1 are perfect squares
sqrt(16) = 4
sqrt(1) = 1
2*4*1 = 8, this matches the 8 in our expression

-> 16r^2 -8r +1 = (4r-1)^2