What is ((x^2-4x+4))/((2x-4)) ?

The solution to ((x^2-4x+4))/((2x-4)) is (x-2)/2

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simplify ((x^2-4x+4))/((2x-4))

simplify

\frac{( x ^{2} - 4 x + 4 )}{( 2 x - 4 )}

\frac{x - 2}{2}

Solution steps

\frac{x ^{2} - 4 x + 4}{2 x - 4}

Factor

x^{2} - 4 x + 4 : (x - 2)^{2}

= \frac{( x - 2 ) ^{2}}{2 x - 4}

Factor

2 x - 4 : 2 (x - 2)

= \frac{( x - 2 ) ^{2}}{2 ( x - 2 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - 2)^{2} = (x - 2) (x - 2)

= \frac{( x - 2 ) ( x - 2 )}{2 ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{x - 2}{2}

(7 x - 3 y)^{3}

x^{3} - 3 x - 4 x - 12

x^{3} \cdot y^{- 2}

x^{2} - 1 + 2 a - a^{2}

∣ x ∣^{2} + 7 ∣ x ∣ + 12

What is ((x^2-4x+4))/((2x-4)) ?
The solution to ((x^2-4x+4))/((2x-4)) is (x-2)/2