What is (2x+14)/(x^2+6x-7) ?

The solution to (2x+14)/(x^2+6x-7) is 2/(x-1)

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simplify (2x+14)/(x^2+6x-7)

simplify

\frac{2 x + 14}{x ^{2} + 6 x - 7}

\frac{2}{x - 1}

Solution steps

\frac{2 x + 14}{x ^{2} + 6 x - 7}

Factor

2 x + 14 : 2 (x + 7)

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

Factor

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

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

Cancel the common factor:

x + 7

= \frac{2}{x - 1}

2 x - 3 x - x

10 \times 10

(m + n)^{2}

(x - 3) (x - 6)

(8 x^{2} y + 9 m^{3})^{2}