What is (5x^2-20)/(25x^2)*x/(x-2) ?

The solution to (5x^2-20)/(25x^2)*x/(x-2) is (x+2)/(5x)

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simplify (5x^2-20)/(25x^2)*x/(x-2)

simplify

\frac{5 x ^{2} - 20}{25 x ^{2}} \cdot \frac{x}{x - 2}

\frac{x + 2}{5 x}

Solution steps

\frac{5 x ^{2} - 20}{25 x ^{2}} \cdot \frac{x}{x - 2}

Cancel

\frac{5 x ^{2} - 20}{25 x ^{2}} : \frac{( x + 2 ) ( x - 2 )}{5 x ^{2}}

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

Apply the fraction rule:

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

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

Cancel the common factor:

x - 2

= \frac{( x + 2 ) x}{5 x ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{( x + 2 ) x}{5 xx}

Cancel the common factor:

x

= \frac{x + 2}{5 x}

\frac{13}{15} \div \frac{7}{10}

(9 - 2 i) + (4 + 7 i) - (3 - 5 i)

\frac{1}{6} - \frac{1}{6}

\frac{3 \cdot 1 0 ^{8}}{560}

1 2^{2} + 1 2^{2}

What is (5x^2-20)/(25x^2)*x/(x-2) ?
The solution to (5x^2-20)/(25x^2)*x/(x-2) is (x+2)/(5x)