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

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

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

simplify

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

1

Solution steps

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

Cancel

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

= \frac{x + 3}{x + 2} \cdot \frac{x + 2}{x + 3}

Cross cancel:

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

= 1

281

2 x (3 x + 4)

(3 - 2 x)^{3}

32 + 40 x

lo g_{3} (45)

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