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

The solution to expand ((3x+5y)^2)/2 is (9x^2)/2+15xy+(25y^2)/2

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expand ((3x+5y)^2)/2

expand

\frac{( 3 x + 5 y ) ^{2}}{2}

\frac{9 x ^{2}}{2} + 15 x y + \frac{25 y ^{2}}{2}

Solution steps

\frac{( 3 x + 5 y ) ^{2}}{2}

(3 x + 5 y)^{2} = 9 x^{2} + 30 x y + 25 y^{2}

= \frac{9 x ^{2} + 30 x y + 25 y ^{2}}{2}

Apply the fraction rule:

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

\frac{9 x ^{2} + 30 x y + 25 y ^{2}}{2} = \frac{9 x ^{2}}{2} + \frac{30 x y}{2} + \frac{25 y ^{2}}{2}

= \frac{9 x ^{2}}{2} + \frac{30 x y}{2} + \frac{25 y ^{2}}{2}

Divide the numbers:

\frac{30}{2} = 15

= \frac{9 x ^{2}}{2} + 15 x y + \frac{25 y ^{2}}{2}

\frac{1.25}{( 20 x + 1 ) ( 10 x + 1 )}

\frac{( p - l ) D}{l v ^{2}}

, (- 7 + 2 i)

(2 x + \frac{1}{y} - \frac{y}{x ^{2}}) d x + (2 y + \frac{1}{x} - \frac{x}{y ^{2}}) d y

u \frac{\partial}{\partial x} ((x - 2 y) t)

What is expand ((3x+5y)^2)/2 ?
The solution to expand ((3x+5y)^2)/2 is (9x^2)/2+15xy+(25y^2)/2