What is (4x+8)/(x^2-25)*(x-5)/(5x+10) ?

The solution to (4x+8)/(x^2-25)*(x-5)/(5x+10) is 4/(5(x+5))

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simplify (4x+8)/(x^2-25)*(x-5)/(5x+10)

simplify

\frac{4 x + 8}{x ^{2} - 25} \cdot \frac{x - 5}{5 x + 10}

\frac{4}{5 ( x + 5 )}

Solution steps

\frac{4 x + 8}{x ^{2} - 25} \cdot \frac{x - 5}{5 x + 10}

Apply the fraction rule:

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

= \frac{( 4 x + 8 ) ( x - 5 )}{( x ^{2} - 25 ) ( 5 x + 10 )}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{( 4 x + 8 ) ( x - 5 )}{( x + 5 ) ( x - 5 ) ( 5 x + 10 )}

Cancel the common factor:

x - 5

= \frac{4 x + 8}{( x + 5 ) ( 5 x + 10 )}

Factor

4 x + 8 : 4 (x + 2)

= \frac{4 ( x + 2 )}{( x + 5 ) ( 5 x + 10 )}

Factor

5 x + 10 : 5 (x + 2)

= \frac{4 ( x + 2 )}{( x + 5 ) \cdot 5 ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{4}{( x + 5 ) \cdot 5}

= \frac{4}{5 ( x + 5 )}

- 8 + (- 5)

- 8 + (- 2)

\frac{- 14 + 18 i}{8 - i}

(i) (- i)

\frac{7 x + 2}{x - 8} + 5 x

What is (4x+8)/(x^2-25)*(x-5)/(5x+10) ?
The solution to (4x+8)/(x^2-25)*(x-5)/(5x+10) is 4/(5(x+5))