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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x - 2}

Solution steps

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x - 2

= \frac{1}{x - 2}

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Frequently Asked Questions (FAQ)

What is (x-2)/(x^2-4x+4) ?
The solution to (x-2)/(x^2-4x+4) is 1/(x-2)