Determine whether the binomial is a difference of two squares. If so, factor. If not, explain.

Question

ageta · Answer

64x^2 -40x+25

ageta · Answer

@SydtheKid913

freckles · Answer

a difference of two squares looks like or can be written as u^2-v^2

mathmale · Answer

Have a look at the given 64x^2 -40x+25.  The first term represents the square of which quantity?  The 3rd term repr. the square of which quantity?  Can you draw any conclusions from these results?

Note that the u^2-v^2 given you by freckles can be factored into (u-v)(u+v).  Is this helpful, or not helpful?  Next, factor u^2 - 2uv + v^2.  Helpful or not?  Think.

ageta · Answer

thank you

mathmale · Answer

Hope you've been able to solve this problem.  You're welcome.