What is (1/2 a-1/2 b+2)^2 ?

The solution to (1/2 a-1/2 b+2)^2 is ((a-b)^2)/4+2a-2b+4

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simplify (1/2 a-1/2 b+2)^2

simplify

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

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

Solution steps

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

\frac{1}{2} a = \frac{a}{2}

\frac{1}{2} b = \frac{b}{2}

= (\frac{a}{2} - \frac{b}{2} + 2)^{2}

Combine the fractions

\frac{a}{2} - \frac{b}{2} : \frac{a - b}{2}

= (\frac{a - b}{2} + 2)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = \frac{a - b}{2}, b = 2

= (\frac{a - b}{2})^{2} + 2 \cdot \frac{a - b}{2} \cdot 2 + 2^{2}

Simplify

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

= \frac{( a - b ) ^{2}}{4} + 2 (a - b) + 4

Expand

2 (a - b) : 2 a - 2 b

= \frac{( a - b ) ^{2}}{4} + 2 a - 2 b + 4

(5 a + 4 b)^{3}

\frac{( ln ( n + 1 ) )}{e} \cdot \frac{1}{( ln ( n ) )}

\frac{\frac{( 2 \frac{x}{10} ) ^{2}}{( 0.5 - x )}}{10}

(- a^{5})^{4}

2 m^{4} - m^{2} x^{2} - 8 \frac{x}{x ^{2}} - x - m

What is (1/2 a-1/2 b+2)^2 ?
The solution to (1/2 a-1/2 b+2)^2 is ((a-b)^2)/4+2a-2b+4