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

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

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

simplify

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

x - 2

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 2

= x - 2

f (- 8)

- x + 3 x

10 \cdot 10 \cdot 10

(3 p - 5 q - 6 r) + (2 p + 3 q - 2 r) + (- 12 p + 4 q + r)

(2)^{6}