What is expand ((4x+5)(2x+3))/2 ?

The solution to expand ((4x+5)(2x+3))/2 is 4x^2+11x+15/2

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expand ((4x+5)(2x+3))/2

expand

\frac{( 4 x + 5 ) ( 2 x + 3 )}{2}

4 x^{2} + 11 x + \frac{15}{2}

Solution steps

\frac{( 4 x + 5 ) ( 2 x + 3 )}{2}

Expand

(4 x + 5) (2 x + 3) : 8 x^{2} + 22 x + 15

= \frac{8 x ^{2} + 22 x + 15}{2}

Apply the fraction rule:

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

\frac{8 x ^{2} + 22 x + 15}{2} = \frac{8 x ^{2}}{2} + \frac{22 x}{2} + \frac{15}{2}

= \frac{8 x ^{2}}{2} + \frac{22 x}{2} + \frac{15}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4 x^{2} + \frac{22 x}{2} + \frac{15}{2}

Divide the numbers:

\frac{22}{2} = 11

= 4 x^{2} + 11 x + \frac{15}{2}

- cos ((n - 1) \cdot π)

\frac{170 ( x )}{( x + 2 ) ^{2}}

, x (, x x 2 + y^{2})

7 ((16 π^{2} + 1)^{\frac{3}{2}} - 1)

\frac{4}{( s + 1 ) ( s ^{2} + 4 )}

What is expand ((4x+5)(2x+3))/2 ?
The solution to expand ((4x+5)(2x+3))/2 is 4x^2+11x+15/2