Answer:
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Step-by-step explanation:
1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]
2. Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]
3.Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]
4. Remove parentheses.
[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]
5. Collect like terms.
[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]
6. Simplify.
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Thus. the answer is,
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
