What is (2x+1/2)(x-2)^2 ?

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

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simplify (2x+1/2)(x-2)^2

simplify

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

\frac{( 4 x + 1 ) ( x - 2 ) ^{2}}{2}

Solution steps

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

Join

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

= \frac{4 x + 1}{2} (x - 2)^{2}

Apply the fraction rule:

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

= \frac{( 4 x + 1 ) ( x - 2 ) ^{2}}{2}

\frac{- 2 x - 11}{( x + 4 ) ( x + 1 )}

\frac{( - 2 b + 1 ) ^{2}}{4}

(3 - \frac{x}{2} - \frac{3}{2} y)^{2}

6 (\frac{2}{3} - 2 y)

2 cos (x) (3 - 7 tan (x))