What is (x^2-7x+12)/(x^2-6x+9) ?

The solution to (x^2-7x+12)/(x^2-6x+9) is (x-4)/(x-3)

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simplify (x^2-7x+12)/(x^2-6x+9)

simplify

\frac{x ^{2} - 7 x + 12}{x ^{2} - 6 x + 9}

\frac{x - 4}{x - 3}

Solution steps

\frac{x ^{2} - 7 x + 12}{x ^{2} - 6 x + 9}

Factor

x^{2} - 7 x + 12 : (x - 3) (x - 4)

= \frac{( x - 3 ) ( x - 4 )}{x ^{2} - 6 x + 9}

Factor

x^{2} - 6 x + 9 : (x - 3)^{2}

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

Apply exponent rule:

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

(x - 3)^{2} = (x - 3) (x - 3)

= \frac{( x - 3 ) ( x - 4 )}{( x - 3 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x - 4}{x - 3}

(X + 2)^{2}

3 x (x - 2) - 2 y (x - 2)

1 0^{1.2}

(x - 10)^{3}

3.14 \cdot 2^{2}

What is (x^2-7x+12)/(x^2-6x+9) ?
The solution to (x^2-7x+12)/(x^2-6x+9) is (x-4)/(x-3)