Expanding:


Reorder the terms:
f(x) = 1 + -3x + 2x2Expanding:


Reorder the terms:
f(x) = -1x + 2x2Expanding:


Reorder the terms:
f(x) = (1 + -1(-1 + 2x)(2x + -1))

Reorder the terms:
f(x) = (1 + -1(-1 + 2x)(-1 + 2x))

Multiply (-1 + 2x) * (-1 + 2x)
f(x) = (1 + -1(-1(-1 + 2x) + 2x * (-1 + 2x)))
f(x) = (1 + -1((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)))
f(x) = (1 + -1((1 + -2x) + 2x * (-1 + 2x)))
f(x) = (1 + -1(1 + -2x + (-1 * 2x + 2x * 2x)))
f(x) = (1 + -1(1 + -2x + (-2x + 4x2)))

Combine like terms: -2x + -2x = -4x
f(x) = (1 + -1(1 + -4x + 4x2))
f(x) = (1 + (1 * -1 + -4x * -1 + 4x2 * -1))
f(x) = (1 + (-1 + 4x + -4x2))

Combine like terms: 1 + -1 = 0
f(x) = (0 + 4x + -4x2)
f(x) = (4x + -4x2)

Remove parenthesis around (4x + -4x2)
f(x) = 4x + -4x2