Answer:
a. 12 - 8x - x² + x³
b. 275 - 375x - 351x² + 240x³ + 112x⁴
c. 30 + 37m - m² - 25m³ - 14m⁴ + 3m⁵
d. 81 + 9x² + x⁴
Explanation:
Tabular method is what I hear people call "Partial Products". Alright. All you have to do is look at how many terms are in each factor, break them up separately into columns and rows, then do your multiplication. This is the best example you will get, and just so you know, it is NOT drawn to scale [IMPERFECT]:
d.
9 | -3x | x²
------|-------|-----
9 | 81 | -27x | 9x²
____________________
3x | 27x| -9x² | 3x³
| | |
____________________
x² |9x² | -3x³ | x⁴
| | |
Add up all the boldfaced terms inside the box, and you will get the above answer.
I am joyous to assist you anytime.