What is (2p+3/4)(2p-3/4) ?

The solution to (2p+3/4)(2p-3/4) is ((8p+3)(8p-3))/(16)

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simplify (2p+3/4)(2p-3/4)

simplify

(2 p + \frac{3}{4}) (2 p - \frac{3}{4})

\frac{( 8 p + 3 ) ( 8 p - 3 )}{16}

Solution steps

(2 p + \frac{3}{4}) (2 p - \frac{3}{4})

Join

2 p + \frac{3}{4} : \frac{8 p + 3}{4}

= \frac{8 p + 3}{4} (2 p - \frac{3}{4})

Apply the fraction rule:

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

= \frac{( 8 p + 3 ) ( 2 p - \frac{3}{4} )}{4}

Simplify

(8 p + 3) (2 p - \frac{3}{4}) : \frac{( 8 p + 3 ) ( 8 p - 3 )}{4}

= \frac{\frac{( 8 p + 3 ) ( 8 p - 3 )}{4}}{4}

Apply the fraction rule:

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

= \frac{( 8 p + 3 ) ( 8 p - 3 )}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( 8 p + 3 ) ( 8 p - 3 )}{16}

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What is (2p+3/4)(2p-3/4) ?
The solution to (2p+3/4)(2p-3/4) is ((8p+3)(8p-3))/(16)