What is (x+1/4)(x-1/4) ?

The solution to (x+1/4)(x-1/4) is ((4x+1)(4x-1))/(16)

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simplify (x+1/4)(x-1/4)

simplify

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

\frac{( 4 x + 1 ) ( 4 x - 1 )}{16}

Solution steps

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

Simplify

x + \frac{1}{4} : \frac{4 x + 1}{4}

= \frac{4 x + 1}{4} (x - \frac{1}{4})

Apply the fraction rule:

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

= \frac{( 4 x + 1 ) ( x - \frac{1}{4} )}{4}

Simplify

(4 x + 1) (x - \frac{1}{4}) : \frac{( 4 x + 1 ) ( x \cdot 4 - 1 )}{4}

= \frac{\frac{( 4 x + 1 ) ( x \cdot 4 - 1 )}{4}}{4}

Apply the fraction rule:

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

= \frac{( 4 x + 1 ) ( x \cdot 4 - 1 )}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( 4 x + 1 ) ( x \cdot 4 - 1 )}{16}

= \frac{( 4 x + 1 ) ( 4 x - 1 )}{16}

7 (5 + 1)

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

\frac{( x - y ) ^{3}}{( x + y )}

\frac{2 x ( 2 x - 4 ) ( 3 x + 9 )}{( x - 1 ) ( x + 2 )}

\frac{s - 1}{s ( s ^{3} + 3 s ^{2} - s + 6 )}