SOLUTION: Factor. {{{45w^2-320}}}

Question 419213: Factor.

Answer by duckness73(47) (Show Source): You can put this solution on YOUR website!
In looking at this expression, let's work on the coefficients first. Both 45 and 320 are divisible by 5 so let's factor out the 5 first: 5(9w^2 - 64). Looking more closely at this, we can see that 9w^2 - 64 is the difference of two squares, namely 3w and 8. So, we now have: 5[ (3w)^2 - (8)^2 ]. In factoring the difference of two squares, we are left with the final answer:
5 (3w - 8) (3w + 8)

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