Wyrażenie (x − 2)^2 + (x + 2)^3 − (x − 2)(x^2 + 2x + 4) można przedstawić w postaci:
(x − 2)^2 + (x + 2)^3 − (x − 2)(x^2 + 2x + 4)=
x^2 - 4x + 4 +x^3 +6x^2 +12 x +8 -(x^3-8)=
x^3 - x^3 + x^2 + 6x^2 - 4x +12 x + 4 +8 +8=
7 x^2+8 x+20
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(x − 2)^2 + (x + 2)^3 − (x − 2)(x^2 + 2x + 4)=
x^2 - 4x + 4 +x^3 +6x^2 +12 x +8 -(x^3-8)=
x^3 - x^3 + x^2 + 6x^2 - 4x +12 x + 4 +8 +8=
7 x^2+8 x+20