What is expand ((3p+2)(p+6))/4 ?

The solution to expand ((3p+2)(p+6))/4 is (3p^2)/4+5p+3

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expand ((3p+2)(p+6))/4

expand

\frac{( 3 p + 2 ) ( p + 6 )}{4}

\frac{3 p ^{2}}{4} + 5 p + 3

Solution steps

\frac{( 3 p + 2 ) ( p + 6 )}{4}

Expand

(3 p + 2) (p + 6) : 3 p^{2} + 20 p + 12

= \frac{3 p ^{2} + 20 p + 12}{4}

Apply the fraction rule:

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

\frac{3 p ^{2} + 20 p + 12}{4} = \frac{3 p ^{2}}{4} + \frac{20 p}{4} + \frac{12}{4}

= \frac{3 p ^{2}}{4} + \frac{20 p}{4} + \frac{12}{4}

Divide the numbers:

\frac{20}{4} = 5

= \frac{3 p ^{2}}{4} + 5 p + \frac{12}{4}

Divide the numbers:

\frac{12}{4} = 3

= \frac{3 p ^{2}}{4} + 5 p + 3

\frac{2 ( 19 + 8 n + 4 n ^{2} )}{5}

y (a x + b y = c)

\frac{6 ( x - 2 )}{x + 2}

\frac{130 v - 1800}{v ( v - 20 )}

y^{2 (x + 1)}

What is expand ((3p+2)(p+6))/4 ?
The solution to expand ((3p+2)(p+6))/4 is (3p^2)/4+5p+3