1: \(\dfrac{-8x^5+12x^3-16x^2}{4x^2}=\dfrac{4x^2\cdot\left(-2x^3\right)+4x^2\cdot3x-4x^2\cdot4}{4x^2}\)
\(=-2x^3+3x-4\)
2: \(\dfrac{12x^3-18x^2+9x}{6x}=\dfrac{12x^3}{6x}-\dfrac{18x^2}{6x}+\dfrac{9x}{6x}\)
\(=2x^2-3x+\dfrac{3}{2}\)
3: \(\dfrac{-7x^6+21x^4-14x^3}{7x^2}=\dfrac{7x^2\cdot\left(-x^4\right)+7x^2\cdot3x^2-7x^2\cdot2x}{7x^2}\)
\(=-x^4+3x^2-2x\)
4: \(\dfrac{15x^3-10x^2+25x^2}{5x^2}=\dfrac{5x^2\cdot3x-5x^2\cdot2+5x^2\cdot5}{5x^2}\)
=3x-2+5=3x+3
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