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

The solution to (x/3-1/2)(x/3+1/2) is ((2x-3)(2x+3))/(36)

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

simplify

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

\frac{( 2 x - 3 ) ( 2 x + 3 )}{36}

Solution steps

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

Simplify

\frac{x}{3} - \frac{1}{2} : \frac{2 x - 3}{6}

= \frac{2 x - 3}{6} (\frac{x}{3} + \frac{1}{2})

Apply the fraction rule:

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

= \frac{( 2 x - 3 ) ( \frac{x}{3} + \frac{1}{2} )}{6}

Simplify

(2 x - 3) (\frac{x}{3} + \frac{1}{2}) : \frac{( 2 x - 3 ) ( x \cdot 2 + 3 )}{6}

= \frac{\frac{( 2 x - 3 ) ( x \cdot 2 + 3 )}{6}}{6}

Apply the fraction rule:

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

= \frac{( 2 x - 3 ) ( x \cdot 2 + 3 )}{6 \cdot 6}

Multiply the numbers:

6 \cdot 6 = 36

= \frac{( 2 x - 3 ) ( x \cdot 2 + 3 )}{36}

= \frac{( 2 x - 3 ) ( 2 x + 3 )}{36}

\frac{( x - 1 ) ( x + 5 )}{( x - 4 ) ( x + 2 )}

\frac{( s ^{3} + 11 s ^{2} - s + 1 )}{s ( s - 1 ) ( s ^{2} - 36 )}

5 (cos (x) + 3)

x^{\frac{2}{5}} (x - 7)

\frac{2 x - 3}{4 ( 2 x + 80 )}

What is (x/3-1/2)(x/3+1/2) ?
The solution to (x/3-1/2)(x/3+1/2) is ((2x-3)(2x+3))/(36)