Factor
\frac{\left(-4x+4y-1\right)^{2}}{16}
Evaluate
\frac{\left(-4x+4y-1\right)^{2}}{16}
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\frac{1+16x^{2}+16y^{2}-32xy+8x-8y}{16}
Factor out \frac{1}{16}.
\left(4x-4y+1\right)^{2}
Consider 1+16x^{2}+16y^{2}-32xy+8x-8y. Use the perfect square formula, a^{2}+b^{2}+c^{2}+2ab+2ac+2bc=\left(a+b+c\right)^{2}, where a=4x, b=-4y and c=1.
\frac{\left(4x-4y+1\right)^{2}}{16}
Rewrite the complete factored expression.
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