What is expand 1/2 (x(dy)/(dy)+y) ?

The solution to expand 1/2 (x(dy)/(dy)+y) is (x(dy)/(dy))/2+y/2

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expand 1/2 (x(dy)/(dy)+y)

expand

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

\frac{x \frac{d y}{d y}}{2} + \frac{y}{2}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{2}, b = x \frac{d y}{d y}, c = y

= \frac{1}{2} x \frac{d y}{d y} + \frac{1}{2} y

Simplify

\frac{1}{2} x \frac{d y}{d y} + \frac{1}{2} y : \frac{x \frac{d y}{d y}}{2} + \frac{y}{2}

= \frac{x \frac{d y}{d y}}{2} + \frac{y}{2}

3 e (e + 4)

\frac{( a + b ) ^{2}}{3}

\frac{1}{( 2 - x ) ( 1 + x )}

\frac{( 3 x ^{3} + 2 )}{( ( x - 1 ) ( x ^{2} + 9 ) )}

\frac{x ^{2} + 2 x + 1}{4 x}

What is expand 1/2 (x(dy)/(dy)+y) ?
The solution to expand 1/2 (x(dy)/(dy)+y) is (x(dy)/(dy))/2+y/2