What is (4x-16)/x*(x^2-11x+24)/(x^2-7x+12) ?

The solution to (4x-16)/x*(x^2-11x+24)/(x^2-7x+12) is (4(x-8))/x

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simplify (4x-16)/x*(x^2-11x+24)/(x^2-7x+12)

simplify

\frac{4 x - 16}{x} \cdot \frac{x ^{2} - 11 x + 24}{x ^{2} - 7 x + 12}

\frac{4 ( x - 8 )}{x}

Solution steps

\frac{4 x - 16}{x} \cdot \frac{x ^{2} - 11 x + 24}{x ^{2} - 7 x + 12}

Cancel

\frac{x ^{2} - 11 x + 24}{x ^{2} - 7 x + 12} : \frac{x - 8}{x - 4}

= \frac{4 x - 16}{x} \cdot \frac{x - 8}{x - 4}

Apply the fraction rule:

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

= \frac{( 4 x - 16 ) ( x - 8 )}{x ( x - 4 )}

Factor

4 x - 16 : 4 (x - 4)

= \frac{4 ( x - 4 ) ( x - 8 )}{x ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{4 ( x - 8 )}{x}

lo g_{4} (1 6^{5})

32 x^{2} y^{4}

(9 + 5 i)^{2}

1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}}

16900

What is (4x-16)/x*(x^2-11x+24)/(x^2-7x+12) ?
The solution to (4x-16)/x*(x^2-11x+24)/(x^2-7x+12) is (4(x-8))/x