Answer:
3x^{4} + 4x³ + 5x - 6
Step-by-step explanation:
Given in the question is an expression
(3x³ - 2x² + 4x - 3)(x + 2)
Apply distributive law
(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)
3[tex]x^{4}[/tex] - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6
Rearrange the like terms
3[tex]x^{4}[/tex] + x³(-2+6) +x²(4-4) +x(-3+8) - 6
3[tex]x^{4}[/tex] + 4x³ + 5x - 6
After performing indicated operation the result is
[tex]3x^{4}+4x^{3}+5x-6[/tex]