How would I solve this using the foil method? Trinomials

Question

Simplify the expression to a polynomial in standard form:

(x^2 -2x+2)(3x^2+6x+2)

Answer 1

Although you can do a FOIL-like exercise like this:

it's a little easier to make a generic rectangle like this:

Adding the terms all together, you get 3x⁴ - 4x² + 8x + 4