Answer:
[tex]4x^{3}+8x^{2} +4x+3[/tex]
Step-by-step explanation:
Hello
To simplify the polynomial we must eliminate the parentheses
by definition
[tex]ax^{n}*bx^{m} =abx^{n+m}[/tex]
[tex](2x-1)(2x^{2} +5x+3)+(3x+6)\\(4x^{3} +10x^{2} +6x-2x^{2} -5x-3)+(3x+6)\\\\We\ add\ the\ similar\ terms\\\\(4x^{3}+8x^{2} +x-3)+(3x+6)\\\\4x^{3}+8x^{2} +4x+3[/tex]
I hope it helps
Have a great day
