Question

Necesito ayuda trinomio cuadrado
(6x^5 + 2x^3 - 3)^2

Answer 1

Respuesta:

$36x^{10}+24x^8+4x^6-36x^5-12x^3+9$

Explicación paso a paso:

$\left(6x^5\:+\:2x^3\:-\:3\right)^2$

$\left(6x^5+2x^3-3\right)\left(6x^5+2x^3-3\right)$

$6x^5\cdot \:6x^5+6x^5\cdot \:2x^3+6x^5\left(-3\right)+2x^3\cdot \:6x^5+2x^3\cdot \:2x^3+2x^3\left(-3\right)+\left(-3\right)\cdot \:6x^5+\left(-3\right)\cdot \:2x^3+(-3)(-3)$

$6\cdot \:6x^5x^5+6\cdot \:2x^5x^3-6\cdot \:3x^5+2\cdot \:6x^5x^3+2\cdot \:2x^3x^3-2\cdot \:3x^3-3\cdot \:6x^5-3\cdot \:2x^3+3\cdot \:3$

$36x^{10}+24x^8-36x^5+4x^6-12x^3+9$

$=36x^{10}+24x^8+4x^6-36x^5-12x^3+9$