Answer:
To simplify the expression, we first factor out the common terms in each binomial and then use the FOIL method (First, Outer, Inner, Last) to combine like terms:
(x^2 + 2x)(x^2 - 2x) = x^4 - 2x^3 + 2x^2 - 4x = x^4 - 2x^3 + 2x^2 - 4x
Now, we apply the FOIL method:
F: Combine the First terms: x^4
O: Combine the Outer terms: -2x^3
I: Combine the Inner terms: 0 (since 2x^2 cancel each other out)
L: Combine the Last terms: -4x
So, the simplified expression is x^4 - 2x^3 - 4x.
