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Combine $\frac{1}{\left(2-x\right)^2}-\frac{1}{4}$ in a single fraction
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$\frac{\frac{1-\frac{1}{4}\left(2-x\right)^2}{\left(2-x\right)^2}}{x}$
Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (1/((2-x)^2)-1/4)/x. Combine \frac{1}{\left(2-x\right)^2}-\frac{1}{4} in a single fraction. Divide fractions \frac{\frac{1-\frac{1}{4}\left(2-x\right)^2}{\left(2-x\right)^2}}{x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Expand the expression 1-\frac{1}{4}\left(2-x\right)^2 completely and simplify. Factor the polynomial x-\frac{1}{4}x^2 by it's greatest common factor (GCF): x.