What is (x^2+6x-7)/(x^2+10x+21) ?

The solution to (x^2+6x-7)/(x^2+10x+21) is (x-1)/(x+3)

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simplify (x^2+6x-7)/(x^2+10x+21)

simplify

\frac{x ^{2} + 6 x - 7}{x ^{2} + 10 x + 21}

\frac{x - 1}{x + 3}

Solution steps

\frac{x ^{2} + 6 x - 7}{x ^{2} + 10 x + 21}

Factor

x^{2} + 6 x - 7 : (x - 1) (x + 7)

= \frac{( x - 1 ) ( x + 7 )}{x ^{2} + 10 x + 21}

Factor

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

= \frac{( x - 1 ) ( x + 7 )}{( x + 3 ) ( x + 7 )}

Cancel the common factor:

x + 7

= \frac{x - 1}{x + 3}

\frac{3 x ^{5} - x}{x}

(2 x + 5) (x - 4)

2 7^{\frac{- 1}{3}}

15 x^{4} y^{4} (- 5 x^{3} y^{5})

What is (x^2+6x-7)/(x^2+10x+21) ?
The solution to (x^2+6x-7)/(x^2+10x+21) is (x-1)/(x+3)