What is (x+1/4)(x+3/4) ?

The solution to (x+1/4)(x+3/4) is ((4x+1)(4x+3))/(16)

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simplify (x+1/4)(x+3/4)

simplify

(x + \frac{1}{4}) (x + \frac{3}{4})

\frac{( 4 x + 1 ) ( 4 x + 3 )}{16}

Solution steps

(x + \frac{1}{4}) (x + \frac{3}{4})

Simplify

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

= \frac{4 x + 1}{4} (x + \frac{3}{4})

Apply the fraction rule:

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

= \frac{( 4 x + 1 ) ( x + \frac{3}{4} )}{4}

Simplify

(4 x + 1) (x + \frac{3}{4}) : \frac{( 4 x + 1 ) ( x \cdot 4 + 3 )}{4}

= \frac{\frac{( 4 x + 1 ) ( x \cdot 4 + 3 )}{4}}{4}

Apply the fraction rule:

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

= \frac{( 4 x + 1 ) ( x \cdot 4 + 3 )}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( 4 x + 1 ) ( x \cdot 4 + 3 )}{16}

= \frac{( 4 x + 1 ) ( 4 x + 3 )}{16}

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