What is (x^2-x-42)/(x^2-49) ?

The solution to (x^2-x-42)/(x^2-49) is (x+6)/(x+7)

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simplify (x^2-x-42)/(x^2-49)

simplify

\frac{x ^{2} - x - 42}{x ^{2} - 49}

\frac{x + 6}{x + 7}

Solution steps

\frac{x ^{2} - x - 42}{x ^{2} - 49}

Factor

x^{2} - x - 42 : (x + 6) (x - 7)

= \frac{( x + 6 ) ( x - 7 )}{x ^{2} - 49}

Factor

x^{2} - 49 : (x + 7) (x - 7)

= \frac{( x + 6 ) ( x - 7 )}{( x + 7 ) ( x - 7 )}

Cancel the common factor:

x - 7

= \frac{x + 6}{x + 7}

(x - 3) (x - 2)

6 z - 4 z + 2 z

\frac{a - b}{a b - b a}

12 + 4

What is (x^2-x-42)/(x^2-49) ?
The solution to (x^2-x-42)/(x^2-49) is (x+6)/(x+7)