What is (x^2-10x+21)/(x^2-5x+6) ?

The solution to (x^2-10x+21)/(x^2-5x+6) is (x-7)/(x-2)

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simplify (x^2-10x+21)/(x^2-5x+6)

simplify

\frac{x ^{2} - 10 x + 21}{x ^{2} - 5 x + 6}

\frac{x - 7}{x - 2}

Solution steps

\frac{x ^{2} - 10 x + 21}{x ^{2} - 5 x + 6}

Factor

x^{2} - 10 x + 21 : (x - 3) (x - 7)

= \frac{( x - 3 ) ( x - 7 )}{x ^{2} - 5 x + 6}

Factor

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

= \frac{( x - 3 ) ( x - 7 )}{( x - 2 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x - 7}{x - 2}

m^{- 4}

e^{x} (- e^{- x})

2 \cdot π \cdot 4

\frac{x ^{m} y ^{n}}{2 x ^{3} y}

3 - 25

What is (x^2-10x+21)/(x^2-5x+6) ?
The solution to (x^2-10x+21)/(x^2-5x+6) is (x-7)/(x-2)