What is (x+1/5)(x+2/5) ?

The solution to (x+1/5)(x+2/5) is ((5x+1)(5x+2))/(25)

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simplify (x+1/5)(x+2/5)

simplify

(x + \frac{1}{5}) (x + \frac{2}{5})

\frac{( 5 x + 1 ) ( 5 x + 2 )}{25}

Solution steps

(x + \frac{1}{5}) (x + \frac{2}{5})

Simplify

x + \frac{1}{5} : \frac{5 x + 1}{5}

= \frac{5 x + 1}{5} (x + \frac{2}{5})

Apply the fraction rule:

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

= \frac{( 5 x + 1 ) ( x + \frac{2}{5} )}{5}

Simplify

(5 x + 1) (x + \frac{2}{5}) : \frac{( 5 x + 1 ) ( x \cdot 5 + 2 )}{5}

= \frac{\frac{( 5 x + 1 ) ( x \cdot 5 + 2 )}{5}}{5}

Apply the fraction rule:

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

= \frac{( 5 x + 1 ) ( x \cdot 5 + 2 )}{5 \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{( 5 x + 1 ) ( x \cdot 5 + 2 )}{25}

= \frac{( 5 x + 1 ) ( 5 x + 2 )}{25}

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