What is (x-2/5)(x+1/3) ?

The solution to (x-2/5)(x+1/3) is ((5x-2)(3x+1))/(15)

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simplify (x-2/5)(x+1/3)

simplify

(x - \frac{2}{5}) (x + \frac{1}{3})

\frac{( 5 x - 2 ) ( 3 x + 1 )}{15}

Solution steps

(x - \frac{2}{5}) (x + \frac{1}{3})

Simplify

x - \frac{2}{5} : \frac{5 x - 2}{5}

= \frac{5 x - 2}{5} (x + \frac{1}{3})

Apply the fraction rule:

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

= \frac{( 5 x - 2 ) ( x + \frac{1}{3} )}{5}

Simplify

(5 x - 2) (x + \frac{1}{3}) : \frac{( 5 x - 2 ) ( x \cdot 3 + 1 )}{3}

= \frac{\frac{( 5 x - 2 ) ( x \cdot 3 + 1 )}{3}}{5}

Apply the fraction rule:

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

= \frac{( 5 x - 2 ) ( x \cdot 3 + 1 )}{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{( 5 x - 2 ) ( x \cdot 3 + 1 )}{15}

= \frac{( 5 x - 2 ) ( 3 x + 1 )}{15}

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