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\frac{4x^{2}y^{4}+4x^{2}z}{2^{2}x^{2}}
Expand \left(2x\right)^{2}.
\frac{4x^{2}y^{4}+4x^{2}z}{4x^{2}}
Calculate 2 to the power of 2 and get 4.
\frac{4x^{2}\left(y^{4}+z\right)}{4x^{2}}
Factor the expressions that are not already factored.
y^{4}+z
Cancel out 4x^{2} in both numerator and denominator.
\frac{4x^{2}y^{4}+4x^{2}z}{2^{2}x^{2}}
Expand \left(2x\right)^{2}.
\frac{4x^{2}y^{4}+4x^{2}z}{4x^{2}}
Calculate 2 to the power of 2 and get 4.
\frac{4x^{2}\left(y^{4}+z\right)}{4x^{2}}
Factor the expressions that are not already factored.
y^{4}+z
Cancel out 4x^{2} in both numerator and denominator.