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

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

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

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

4 \cdot 4 = 16

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

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

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