Please help me! This homework question seriously has me stumped.
|3b − 9| + |−3 − b^2| + 2b^3; b = −3
A. 12
B. 84
C. -48
D. -24
Evaluate abs(3 b-9)+abs(-3-b^2)+2 b^3 where b = -3:
abs(3 b-9)+abs(-3-b^2)+2 b^3 = abs(-3 3-9)+abs(-3-(-3)^2)+(-3)^3×2
(-3)^2 = 9:
abs(-3×3-9)+abs(-3-9)+2×(-3)^3
3 (-3) = -9:
abs(-9-9)+abs(-3-9)+2×(-3)^3
-9-9 = -18:
abs(-18)+abs(-3-9)+2×(-3)^3
-3-9 = -12:
abs(-18)+abs(-12)+2×(-3)^3
(-3)^3 = (-1)^3×3^3 = -3^3:
abs(-18)+abs(-12)+2×-3^3
3^3 = 3×3^2:
abs(-18)+abs(-12)+2 (-3×3^2)
3^2 = 9:
abs(-18)+abs(-12)+2 (-3×9)
3×9 = 27:
abs(-18)+abs(-12)+2 (-27)
Since -18<=0, then abs(-18) = 18:
18+abs(-12)-27×2
Since -12<=0, then abs(-12) = 12:
18+12-27×2
2 (-27) = -54:
18+12+-54
18+12-54 = -24:
Answer: |-24