What is (x-8)/((x+6)(x-8))*(4x(x+10))/(x+10) ?

The solution to (x-8)/((x+6)(x-8))*(4x(x+10))/(x+10) is (4x)/(x+6)

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simplify (x-8)/((x+6)(x-8))*(4x(x+10))/(x+10)

simplify

\frac{x - 8}{( x + 6 ) ( x - 8 )} \cdot \frac{4 x ( x + 10 )}{x + 10}

\frac{4 x}{x + 6}

Solution steps

\frac{x - 8}{( x + 6 ) ( x - 8 )} \cdot \frac{4 x ( x + 10 )}{x + 10}

Cancel the common factor:

x - 8

= \frac{1}{x + 6} \cdot \frac{4 x ( x + 10 )}{x + 10}

Cancel the common factor:

x + 10

= \frac{1}{x + 6} \cdot 4 x

Apply the fraction rule:

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

= \frac{1 \cdot 4 x}{x + 6}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 x}{x + 6}

\frac{x ^{2} - 16}{4 - x}

\frac{x ^{2} + 6 x - 7}{x ^{2} + 10 x + 21}

\frac{3 x ^{5} - x}{x}

(2 x + 5) (x - 4)

2 7^{\frac{- 1}{3}}

What is (x-8)/((x+6)(x-8))*(4x(x+10))/(x+10) ?
The solution to (x-8)/((x+6)(x-8))*(4x(x+10))/(x+10) is (4x)/(x+6)