J jennal New member Joined Sep 5, 2006 Messages 3 Sep 5, 2006 #1 Hi I am having difficulty with a math problem I would appreciate any help. Factor completely: 256x^8 - 1
Hi I am having difficulty with a math problem I would appreciate any help. Factor completely: 256x^8 - 1
W wantedcriminal03 Guest Sep 5, 2006 #2 Don't know if this is right or not, but I randomly get: \(\displaystyle 256x^8 - 1\) \(\displaystyle =16^2(x^8)-1\) \(\displaystyle =(16x^4)^2-1^2\) \(\displaystyle y^2-x^2=(y-x)(y+x)\) \(\displaystyle =(16x^4+1)(16x^4-1)\)
Don't know if this is right or not, but I randomly get: \(\displaystyle 256x^8 - 1\) \(\displaystyle =16^2(x^8)-1\) \(\displaystyle =(16x^4)^2-1^2\) \(\displaystyle y^2-x^2=(y-x)(y+x)\) \(\displaystyle =(16x^4+1)(16x^4-1)\)
D Denis Senior Member Joined Feb 17, 2004 Messages 1,700 Sep 5, 2006 #3 The (16x^4-1) factors to (4x^2+1)(4x^2-1) Then the (4x^2-1) factors to (2x+1)(2x-1)
J jennal New member Joined Sep 5, 2006 Messages 3 Sep 5, 2006 #5 Thank you so much for the help. We were going in the right direction just got stumped.