What is 6-1/2 (4(x-3)^2) ?

The solution to 6-1/2 (4(x-3)^2) is -2x^2+12x-12

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simplify 6-1/2 (4(x-3)^2)

simplify

6 - \frac{1}{2} (4 (x - 3)^{2})

- 2 x^{2} + 12 x - 12

Solution steps

6 - \frac{1}{2} (4 (x - 3)^{2})

Remove parentheses:

(a) = a

= 6 - \frac{1}{2} \cdot 4 (x - 3)^{2}

\frac{1}{2} \cdot 4 (x - 3)^{2} = 2 (x - 3)^{2}

= 6 - 2 (x - 3)^{2}

(x - 3)^{2} : x^{2} - 6 x + 9

= 6 - 2 (x^{2} - 6 x + 9)

Expand

- 2 (x^{2} - 6 x + 9) : - 2 x^{2} + 12 x - 18

= 6 - 2 x^{2} + 12 x - 18

Simplify

6 - 2 x^{2} + 12 x - 18 : - 2 x^{2} + 12 x - 12

= - 2 x^{2} + 12 x - 12

0. 3^{12}

(5 x + 4 y)^{3}

- 0.5 lo g_{2} (0.5) - 0.5 lo g_{2} (0.5)

\frac{- 4 \frac{1}{2}}{( - 1 \frac{3}{8} )}

- \frac{1}{2} \cdot lo g_{2} (\frac{1}{2}) - \frac{1}{2} \cdot lo g_{2} (\frac{1}{2})