What is (x^2-5x+6)/(x^2-4x+4) ?

The solution to (x^2-5x+6)/(x^2-4x+4) is (x-3)/(x-2)

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simplify (x^2-5x+6)/(x^2-4x+4)

simplify

\frac{x ^{2} - 5 x + 6}{x ^{2} - 4 x + 4}

\frac{x - 3}{x - 2}

Solution steps

\frac{x ^{2} - 5 x + 6}{x ^{2} - 4 x + 4}

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

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

Factor

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

= \frac{( x - 2 ) ( x - 3 )}{( 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 - 3 )}{( x - 2 ) ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{x - 3}{x - 2}

(5 m + b + 3 n)^{2}

96 x^{3} - 192 x^{2} + 24 x

\frac{8.99 - 9}{8.99 - 3}

(16 x^{2})^{\frac{3}{4}}

(3 a - b) (3 a + b)

What is (x^2-5x+6)/(x^2-4x+4) ?
The solution to (x^2-5x+6)/(x^2-4x+4) is (x-3)/(x-2)