What is expand ((b+4)*(a+4))/2 ?

The solution to expand ((b+4)*(a+4))/2 is (ba)/2+2b+2a+8

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expand ((b+4)*(a+4))/2

expand

\frac{( b + 4 ) \cdot ( a + 4 )}{2}

\frac{ba}{2} + 2 b + 2 a + 8

Solution steps

\frac{( b + 4 ) ( a + 4 )}{2}

Expand

(b + 4) (a + 4) : ba + 4 b + 4 a + 16

= \frac{ba + 4 b + 4 a + 16}{2}

Apply the fraction rule:

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

\frac{ba + 4 b + 4 a + 16}{2} = \frac{ba}{2} + \frac{4 b}{2} + \frac{4 a}{2} + \frac{16}{2}

= \frac{ba}{2} + \frac{4 b}{2} + \frac{4 a}{2} + \frac{16}{2}

Divide the numbers:

\frac{4}{2} = 2

= \frac{ba}{2} + 2 b + 2 a + \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= \frac{ba}{2} + 2 b + 2 a + 8

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What is expand ((b+4)*(a+4))/2 ?
The solution to expand ((b+4)*(a+4))/2 is (ba)/2+2b+2a+8