What is (4x-8)/(x-3)*(x^2-81)/(x^2-11x+18) ?

The solution to (4x-8)/(x-3)*(x^2-81)/(x^2-11x+18) is (4(x+9))/(x-3)

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simplify (4x-8)/(x-3)*(x^2-81)/(x^2-11x+18)

simplify

\frac{4 x - 8}{x - 3} \cdot \frac{x ^{2} - 81}{x ^{2} - 11 x + 18}

\frac{4 ( x + 9 )}{x - 3}

Solution steps

\frac{4 x - 8}{x - 3} \cdot \frac{x ^{2} - 81}{x ^{2} - 11 x + 18}

Cancel

\frac{x ^{2} - 81}{x ^{2} - 11 x + 18} : \frac{x + 9}{x - 2}

= \frac{4 x - 8}{x - 3} \cdot \frac{x + 9}{x - 2}

Apply the fraction rule:

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

= \frac{( 4 x - 8 ) ( x + 9 )}{( x - 3 ) ( x - 2 )}

Factor

4 x - 8 : 4 (x - 2)

= \frac{4 ( x - 2 ) ( x + 9 )}{( x - 3 ) ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{4 ( x + 9 )}{x - 3}

\frac{1 2 ^{2} 3}{4}

- \frac{1}{2} \cdot (- 3)

\frac{- 8 - 5 i}{5 - 3 i}

\frac{1 - 0.95}{2}

\frac{1 - \frac{2}{2}}{2}

What is (4x-8)/(x-3)*(x^2-81)/(x^2-11x+18) ?
The solution to (4x-8)/(x-3)*(x^2-81)/(x^2-11x+18) is (4(x+9))/(x-3)