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64x^{3}-16x^{2}+x+0
Multiply -1 and 0 to get 0.
64x^{3}-16x^{2}+x
Anything plus zero gives itself.
x\left(64x^{2}-16x+1\right)
Factor out x.
\left(8x-1\right)^{2}
Consider 64x^{2}-16x+1. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=8x and b=1.
x\left(8x-1\right)^{2}
Rewrite the complete factored expression.