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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 2

= \frac{x - 2}{x + 2}

3 - 6 y - 24

\frac{( 2 x ^{4} + 3 x ^{3} - 2 x - 3 )}{( 2 x + 3 )}

\frac{12 f - 32}{( 2 f )}

i^{n} \cdot i^{n + 1} \cdot i^{n + 2} \cdot i^{n + 3}

(a^{2} + b^{2})^{2} - 4 a^{2} \cdot b^{v}

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