What is (x^2+11x+24)/(x^2+2x-3) ?

The solution to (x^2+11x+24)/(x^2+2x-3) is (x+8)/(x-1)

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simplify (x^2+11x+24)/(x^2+2x-3)

simplify

\frac{x ^{2} + 11 x + 24}{x ^{2} + 2 x - 3}

\frac{x + 8}{x - 1}

Solution steps

\frac{x ^{2} + 11 x + 24}{x ^{2} + 2 x - 3}

Factor

x^{2} + 11 x + 24 : (x + 3) (x + 8)

= \frac{( x + 3 ) ( x + 8 )}{x ^{2} + 2 x - 3}

Factor

x^{2} + 2 x - 3 : (x - 1) (x + 3)

= \frac{( x + 3 ) ( x + 8 )}{( x - 1 ) ( x + 3 )}

Cancel the common factor:

x + 3

= \frac{x + 8}{x - 1}

5^{0} \cdot \frac{5 ^{7}}{5 ^{5}}

\frac{1 - cos ^{2} ( x )}{sec ^{2} ( x ) - 1}

36 \frac{2}{3}

25 (x + 2)^{4}

80 x^{4} y

What is (x^2+11x+24)/(x^2+2x-3) ?
The solution to (x^2+11x+24)/(x^2+2x-3) is (x+8)/(x-1)