What is expand (3(2x^2+10x+11))/2 ?

The solution to expand (3(2x^2+10x+11))/2 is 3x^2+15x+33/2

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expand (3(2x^2+10x+11))/2

expand

\frac{3 ( 2 x ^{2} + 10 x + 11 )}{2}

3 x^{2} + 15 x + \frac{33}{2}

Solution steps

\frac{3 ( 2 x ^{2} + 10 x + 11 )}{2}

Expand

3 (2 x^{2} + 10 x + 11) : 6 x^{2} + 30 x + 33

= \frac{6 x ^{2} + 30 x + 33}{2}

Apply the fraction rule:

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

\frac{6 x ^{2} + 30 x + 33}{2} = \frac{6 x ^{2}}{2} + \frac{30 x}{2} + \frac{33}{2}

= \frac{6 x ^{2}}{2} + \frac{30 x}{2} + \frac{33}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 x^{2} + \frac{30 x}{2} + \frac{33}{2}

Divide the numbers:

\frac{30}{2} = 15

= 3 x^{2} + 15 x + \frac{33}{2}

\frac{1}{( s + 1 ) ( s + 2 ) ( s ^{2} + 2 s + 2 )}

\frac{3 ( 5 - 1 )}{2}

\frac{( 4 - t ^{2} ) ( 5 t - 3 )}{( 4 t + 3 ) ( 5 t + 1 )}

M (3, 6) y N (3, - 6)

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

What is expand (3(2x^2+10x+11))/2 ?
The solution to expand (3(2x^2+10x+11))/2 is 3x^2+15x+33/2