What is (x^2+3x-28)/(x^2-49) ?

The solution to (x^2+3x-28)/(x^2-49) is (x-4)/(x-7)

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simplify (x^2+3x-28)/(x^2-49)

simplify

\frac{x ^{2} + 3 x - 28}{x ^{2} - 49}

\frac{x - 4}{x - 7}

Solution steps

\frac{x ^{2} + 3 x - 28}{x ^{2} - 49}

Factor

x^{2} + 3 x - 28 : (x - 4) (x + 7)

= \frac{( x - 4 ) ( x + 7 )}{x ^{2} - 49}

Factor

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

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

Cancel the common factor:

x + 7

= \frac{x - 4}{x - 7}

(x + 7)^{2} - 4 (x + 7) - 6

1 2^{2} - 6^{2}

\frac{1}{x} + 4

\frac{1}{x} - 3

What is (x^2+3x-28)/(x^2-49) ?
The solution to (x^2+3x-28)/(x^2-49) is (x-4)/(x-7)