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3-8x^{4}+12x^{2}-\frac{9}{2}
Use the distributive property to multiply -\frac{1}{2} by 16x^{4}-24x^{2}+9.
-\frac{3}{2}-8x^{4}+12x^{2}
Subtract \frac{9}{2} from 3 to get -\frac{3}{2}.
3-8x^{4}+12x^{2}-\frac{9}{2}
Use the distributive property to multiply -\frac{1}{2} by 16x^{4}-24x^{2}+9.
-\frac{3}{2}-8x^{4}+12x^{2}
Subtract \frac{9}{2} from 3 to get -\frac{3}{2}.