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(2x - 1)^2 - 3(x^3 -1)
(2x - 1)^2 = 4x^2 - 4x + 1 (A)
- 3(x^3 - 1) = - 3(x - 1)(x^2 + x + 1)
= - 3(x^3 + x^2 + x - x^2 - x - 1)
= - 3x^3 - 3x^2 - 3x + 3x^2 + 3x + 3
= - 3x^3 + 3 (B)
Observación: En B la multiplicación
puede ser directa; sin
desarrollar el producto
notable
A - B
4x^2 - 4x + 1
3x^3 + 3
3x^3 + 4x^2 - 4x + 3 RESULTADO FINAL