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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 7 ) ( x - 7 )}{x ^{2} + 4 x - 21}

Factor

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

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

Cancel the common factor:

x + 7

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

(2 x^{2} + x)^{12}

81 - 9 x^{2}

5 \cdot 23

5 \cdot 28

5 \cdot 2 x

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