12: \(-2x\left(1+4x\right)\)
\(=-2x\cdot1-2x\cdot4x\)
\(=-2x-8x^2\)
11: \(5x\left(2x^2-3x-1\right)\)
\(=5x\cdot2x^2-5x\cdot3x-5x\cdot1\)
\(=10x^3-15x^2-5x\)
10: \(6x^3\left(2x^2+3x-1\right)\)
\(=6x^3\cdot2x^2+6x^3\cdot3x-6x^3\cdot1\)
\(=12x^5+18x^3-6x^3\)