Answer: 206
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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[(3)/(4)+(-2-3)^2\right]\\\\8\left[(3)/(4)+(-5)^2\right]\\\\8\left((3)/(4)+25\right)\\\\8\left((3)/(4)+(100)/(4)\right)\\\\8\left((3+100)/(4)\right)\\\\8\left((103)/(4)\right)\\\\(8)/(4)*103\\\\2*103\\\\206\\\\](https://img.qammunity.org/2021/formulas/mathematics/college/js171m60lx95plv4f5hjukc794rxq3cat9.png)
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://img.qammunity.org/2021/formulas/mathematics/college/er0hssmex5igq35is7p7m31wejxba8riy7.png)
when a = 3/4, b = -8, c = -2, and d = 3.