4: \(5x\left(2x^2+3x+1\right)\)
\(=5x\cdot2x^2+5x\cdot3x+5x\cdot1\)
\(=10x^3+15x^2+5x\)
5: \(6x^3\left(2x^2+x+5\right)=6x^3\cdot2x^2+6x^3\cdot x+6x^3\cdot5=12x^5+6x^4+30x^3\)
6: \(6x^2\left(5x-1\right)=6x^2\cdot5x-6x^2\cdot1=30x^3-6x^2\)
`5x (2x^2 + 3x + 1) `
`= 10x^3 + 15x^2 + 5x`
`6x^3 (2x^2 + x + 5)`
`= 12x^5 + 6x^4 + 30x^3`
`6x^2 (5x - 1)`
`= 30x^3 - 6x^2`