What is (x+9)/(x-1)*(x^2-7x+6)/(x^2+3x-54) ?

The solution to (x+9)/(x-1)*(x^2-7x+6)/(x^2+3x-54) is 1

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simplify (x+9)/(x-1)*(x^2-7x+6)/(x^2+3x-54)

simplify

\frac{x + 9}{x - 1} \cdot \frac{x ^{2} - 7 x + 6}{x ^{2} + 3 x - 54}

1

Solution steps

\frac{x + 9}{x - 1} \cdot \frac{x ^{2} - 7 x + 6}{x ^{2} + 3 x - 54}

Cancel

\frac{x ^{2} - 7 x + 6}{x ^{2} + 3 x - 54} : \frac{x - 1}{x + 9}

= \frac{x + 9}{x - 1} \cdot \frac{x - 1}{x + 9}

Cross cancel:

\frac{a}{b} \cdot \frac{b}{a} = 1

= 1

(x + 2) (x - 3) (x + 5)

s^{2} + s - 20

2 + (6 - 2 x)

\frac{1}{2} \cdot 0.5

3 \cdot (- 7)

What is (x+9)/(x-1)*(x^2-7x+6)/(x^2+3x-54) ?
The solution to (x+9)/(x-1)*(x^2-7x+6)/(x^2+3x-54) is 1