What is (x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81) ?

The solution to (x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81) is (x(x-5))/2

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simplify (x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81)

simplify

\frac{x ^{3} + 9 x ^{2}}{2 x} \cdot \frac{x ^{2} - 14 x + 45}{x ^{2} - 81}

\frac{x ( x - 5 )}{2}

Solution steps

\frac{x ^{3} + 9 x ^{2}}{2 x} \cdot \frac{x ^{2} - 14 x + 45}{x ^{2} - 81}

Cancel

\frac{x ^{3} + 9 x ^{2}}{2 x} : \frac{x ( x + 9 )}{2}

= \frac{x ( x + 9 )}{2} \cdot \frac{x ^{2} - 14 x + 45}{x ^{2} - 81}

Cancel

\frac{x ^{2} - 14 x + 45}{x ^{2} - 81} : \frac{x - 5}{x + 9}

= \frac{x ( x + 9 )}{2} \cdot \frac{x - 5}{x + 9}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{x ( x + 9 ) ( x - 5 )}{2 ( x + 9 )}

Cancel the common factor:

x + 9

= \frac{x ( x - 5 )}{2}

1 \cdot 1 0^{5}

\frac{x ^{3} - 2 x ^{2} + 1}{x - 1}

4 \times \frac{2}{3}

(x - 7) (x - 2)

2 (- 2 - 4 p) + 2 (- 2 p - 1)

What is (x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81) ?
The solution to (x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81) is (x(x-5))/2