What is (x^2+3x-54)/(x^2+4x-45) ?

The solution to (x^2+3x-54)/(x^2+4x-45) is (x-6)/(x-5)

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simplify (x^2+3x-54)/(x^2+4x-45)

simplify

\frac{x ^{2} + 3 x - 54}{x ^{2} + 4 x - 45}

\frac{x - 6}{x - 5}

Solution steps

\frac{x ^{2} + 3 x - 54}{x ^{2} + 4 x - 45}

Factor

x^{2} + 3 x - 54 : (x - 6) (x + 9)

= \frac{( x - 6 ) ( x + 9 )}{x ^{2} + 4 x - 45}

Factor

x^{2} + 4 x - 45 : (x - 5) (x + 9)

= \frac{( x - 6 ) ( x + 9 )}{( x - 5 ) ( x + 9 )}

Cancel the common factor:

x + 9

= \frac{x - 6}{x - 5}

\frac{1}{8} \div \frac{3}{4}

11 \frac{1}{4}

3 \cdot \frac{3}{5}

lo g_{64} (\frac{1}{8})

(2 x - 3) (4 x^{2} + 6 x + 9)

What is (x^2+3x-54)/(x^2+4x-45) ?
The solution to (x^2+3x-54)/(x^2+4x-45) is (x-6)/(x-5)