-5(3x - 7)

Sorry I meant this one:-4x2(3x2 - x + 1)
*Your supposed to do the FOIL Method!

-12x4 + 4x3 - 4x2

To simplify the expression -4x²(3x² - x + 1) using the FOIL method, we need to distribute -4x² to each term inside the parentheses. The FOIL method is a way to remember the steps of distributing the terms using the First, Outer, Inner, and Last method.

First: Multiply the first terms of each set of parentheses.
Outer: Multiply the outer terms of each set of parentheses.
Inner: Multiply the inner terms of each set of parentheses.
Last: Multiply the last terms of each set of parentheses.

So let's apply the FOIL method to simplify -4x²(3x² - x + 1):

First: -4x² * 3x² = -12x⁴
Outer: -4x² * -x = 4x³
Inner: -4x² * 1 = -4x²
Last: There are no more terms left in the parentheses.

Putting it all together, we have:
-12x⁴ + 4x³ - 4x²

Therefore, the simplified expression is -12x⁴ + 4x³ - 4x².