a) \(\left(6x^3\right):\left(-3x^2\right)=\left(-6:3\right)\left(x^3:x^2\right)=-2x\)
b) \(\left(-9x^2\right):\left(6x\right)=\left(-9:6\right)\left(x^2:x\right)=-\dfrac{3}{2}x\)
c) \(\left(-16x^4\right):\left(-12x^3\right)=\left[\left(-16\right):\left(-12\right)\right]\left(x^4:x^3\right)=\dfrac{4}{3}x\)
d) \(\left(8x^3+4x^2-6x\right):\left(2x\right)=\left(8x^3:2x\right)+\left(4x^2:2x\right)+\left(-6x:2x\right)\)
\(=4x^2+2x-3\)
e) \(\left(7x^3-6x\right):\left(-2x\right)=\left[7x^3:\left(-2x\right)\right]+\left[\left(-6x\right):\left(-2x\right)\right]\)
\(=-\dfrac{7}{2}x^2+3\)
f) \(\left(-12x^6-18x^3\right):\left(-3x\right)=\left[\left(-12x^6\right):\left(-3x\right)\right]+\left[\left(-18x^3\right):\left(-3x\right)\right]\)
\(=4x^5+6x^2\)
a: =-6x^3:3x^2=-2x
b: =-9x^2:6x=-3/2x
c: =16x^4/12x^3=4/3x
d: =4x^2+2x-3
e: =-7/2x^2+3
f: =(12x^6+18x^3)/3x=4x^5+6x^2
