Question

factorizar extrayendo un factor común polinomio: 4x²(x-3)³-6x(x-3)²+4(x-3)​

Answer 1

Respuesta:

$4x^5-36x^4+102x^3-72x^2-50x-12$

Explicación paso a paso:

4x²(x-3)³-6x(x-3)²+4(x-3)​

$4x^2\left(x^3-9x^2+27x-27\right)-6x\left(x-3\right)^2+4\left(x-3\right)\\\\4x^2\left(x^3-9x^2+27x-27\right)-6x\left(x^2-6x+9\right)+4\left(x-3\right)\\\\4x^5-36x^4+108x^3-108x^2-6x\left(x^2-6x+9\right)+4\left(x-3\right)\\\\4x^5-36x^4+108x^3-108x^2-6x^3+36x^2-54x+4\left(x-3\right)\\\\4x^5-36x^4+108x^3-108x^2-6x^3+36x^2-54x+4x-12\\\\4x^5-36x^4+102x^3-72x^2-50x-12$