Answer:
see image
Step-by-step explanation:
You are multiplying x² - 4x + 4 and 6x + 3.
This is set up like:
6x + 3(x² - 4x + 4)
To solve this, we want to multiply each term that is outside of the parentheses with each term that is inside of the parentheses.
Let's start with 6x.
6x • x² = 6x³
6x • -4x = -24x²
6x • 4 = 24x
These numbers will be in the first blank row.
Now, let's move onto 3.
3 • x² = 3x²
3 • -4x = -12x
3 • 4 = 12
These numbers will be in the second blank row.
Now let's write all these numbers together.
6x³ - 24x² + 24x + 3x² - 12x + 12
Combine like terms, pay attention to the exponent.
6x³ - 21x² + 12x + 12
Refer to the completed table below.
Hope this helps!
