What is expand ((b+2)(a+1))/2 ?

The solution to expand ((b+2)(a+1))/2 is (ba)/2+b/2+a+1

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expand ((b+2)(a+1))/2

expand

\frac{( b + 2 ) ( a + 1 )}{2}

\frac{ba}{2} + \frac{b}{2} + a + 1

Solution steps

\frac{( b + 2 ) ( a + 1 )}{2}

Expand

(b + 2) (a + 1) : ba + b + 2 a + 2

= \frac{ba + b + 2 a + 2}{2}

Apply the fraction rule:

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

\frac{ba + b + 2 a + 2}{2} = \frac{ba}{2} + \frac{b}{2} + \frac{2 a}{2} + \frac{2}{2}

= \frac{ba}{2} + \frac{b}{2} + \frac{2 a}{2} + \frac{2}{2}

Apply rule

\frac{a}{a} = 1

\frac{2}{2} = 1

= \frac{ba}{2} + \frac{b}{2} + \frac{2 a}{2} + 1

Divide the numbers:

\frac{2}{2} = 1

= \frac{ba}{2} + \frac{b}{2} + a + 1

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

, (\frac{2}{3} x + \frac{2}{3}) (\frac{4 y}{3} + \frac{1}{3})

(\frac{16 - a}{2})^{2}

(a \cdot b^{'} + c) (a + b)

What is expand ((b+2)(a+1))/2 ?
The solution to expand ((b+2)(a+1))/2 is (ba)/2+b/2+a+1