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\frac{4096x^{2}-1}{4096}
Factor out \frac{1}{4096}.
\left(64x-1\right)\left(64x+1\right)
Consider 4096x^{2}-1. Rewrite 4096x^{2}-1 as \left(64x\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(64x-1\right)\left(64x+1\right)}{4096}
Rewrite the complete factored expression.
x^{2}-\frac{1}{4096}
Calculate 4 to the power of -6 and get \frac{1}{4096}.