What is (x^2-4x-21)/(x^2-49) ?

The solution to (x^2-4x-21)/(x^2-49) is (x+3)/(x+7)

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simplify (x^2-4x-21)/(x^2-49)

simplify

\frac{x ^{2} - 4 x - 21}{x ^{2} - 49}

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

Solution steps

\frac{x ^{2} - 4 x - 21}{x ^{2} - 49}

Factor

x^{2} - 4 x - 21 : (x + 3) (x - 7)

= \frac{( x + 3 ) ( x - 7 )}{x ^{2} - 49}

Factor

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

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

Cancel the common factor:

x - 7

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

27 x^{2}

lo g_{3} (27) + lo g_{3} (81)

(i 3)^{2}

\frac{3 x ^{2} - 12}{2 x + 4}

\frac{x ^{3} - a ^{3}}{x - a}

What is (x^2-4x-21)/(x^2-49) ?
The solution to (x^2-4x-21)/(x^2-49) is (x+3)/(x+7)