What is (x^2-10x+21)/(x^2-9) ?

The solution to (x^2-10x+21)/(x^2-9) is (x-7)/(x+3)

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simplify (x^2-10x+21)/(x^2-9)

simplify

\frac{x ^{2} - 10 x + 21}{x ^{2} - 9}

\frac{x - 7}{x + 3}

Solution steps

\frac{x ^{2} - 10 x + 21}{x ^{2} - 9}

Factor

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

= \frac{( x - 3 ) ( x - 7 )}{x ^{2} - 9}

Factor

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

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

Cancel the common factor:

x - 3

= \frac{x - 7}{x + 3}

(x + 1) (2 x + 10)

(3 - 27)^{2}

- 6 \times (- 1)

(1 - 14 y)^{3}

10 \times 5

What is (x^2-10x+21)/(x^2-9) ?
The solution to (x^2-10x+21)/(x^2-9) is (x-7)/(x+3)