Answer:
= 26x3 − 12x2 + 5x + 7
Step-by-step explanation:
Use the FOIL method to multiply the two binomials. Then distribute the negative sign. Finally, order like terms from highest degree to lowest degree and combine.
(2x3 − 3x + 11) − (3x2 + 1)(4 − 8x)
= (2x3 − 3x + 11) − (12x2 − 24x3 + 4 − 8x)
= 2x3 − 3x + 11 − 12x2 + 24x3 − 4 + 8x
= 2x3 + 24x3 − 12x2 − 3x + 8x + 11 – 4
= 26x3 − 12x2 + 5x + 7
