\(\left[8x^3\left(2x-5\right)^2-6x^2\left(2x-5\right)^3+10x\left(2x-5\right)^2\right]:2x\left(2x-5\right)^2\)
\(=\dfrac{8x^3\left(2x-5\right)^2-6x^2\left(2x-5\right)^3+10x\left(2x-5\right)^2}{2x\left(2x-5\right)^2}\)
\(=\dfrac{\left(2x-5\right)^2\left[8x^3-6x^2\left(2x-5\right)+10x\right]}{2x\left(2x-5\right)^2}\)
\(=\dfrac{8x^3-6x^2\left(2x-5\right)+10x}{2x}\)
\(=\dfrac{2x\left[4x^2-3x\left(2x-5\right)+5\right]}{2x}\)
\(=4x^2-3x\left(2x-5\right)+5\)
\(=4x^2-6x^2+15x+5\)
\(=-2x^2+15x+5\)
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