<h3>
Answer: 206</h3>
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Work Shown:
a = 3/4
b = -8
c = -2
d = 3
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c-d = -2-3 = -5
(c-d)^2 = (-5)^2 = 25
a+(c-d)^2 = 3/4 + 25 = 3/4 + 100/4 = 103/4
-b * [ a + (c-d)^2 ] = -(-8)*103/4 = 8*103/4 = (8/4)*103 = 2*103 = 206
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Another way to show the steps could be
![-b[a+(c-d)^2]\\\\-(-8)\left[\frac{3}{4}+(-2-3)^2\right]\\\\8\left[\frac{3}{4}+(-5)^2\right]\\\\8\left(\frac{3}{4}+25\right)\\\\8\left(\frac{3}{4}+\frac{100}{4}\right)\\\\8\left(\frac{3+100}{4}\right)\\\\8\left(\frac{103}{4}\right)\\\\\frac{8}{4}*103\\\\2*103\\\\206\\\\](https://tex.z-dn.net/?f=-b%5Ba%2B%28c-d%29%5E2%5D%5C%5C%5C%5C-%28-8%29%5Cleft%5B%5Cfrac%7B3%7D%7B4%7D%2B%28-2-3%29%5E2%5Cright%5D%5C%5C%5C%5C8%5Cleft%5B%5Cfrac%7B3%7D%7B4%7D%2B%28-5%29%5E2%5Cright%5D%5C%5C%5C%5C8%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%2B25%5Cright%29%5C%5C%5C%5C8%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B100%7D%7B4%7D%5Cright%29%5C%5C%5C%5C8%5Cleft%28%5Cfrac%7B3%2B100%7D%7B4%7D%5Cright%29%5C%5C%5C%5C8%5Cleft%28%5Cfrac%7B103%7D%7B4%7D%5Cright%29%5C%5C%5C%5C%5Cfrac%7B8%7D%7B4%7D%2A103%5C%5C%5C%5C2%2A103%5C%5C%5C%5C206%5C%5C%5C%5C)
Which is more or less the same thing as the previous section.
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So ultimately,
![-b[a+(c-d)^2] = 206](https://tex.z-dn.net/?f=-b%5Ba%2B%28c-d%29%5E2%5D%20%3D%20206)
when a = 3/4, b = -8, c = -2, and d = 3.