Respuesta:
7. z³-9z²+27z-27
8. [tex]pq^6+21pq^4+63pq^2+343[/tex]
9. 8n³-12n²+8n-2
10. [tex]{x}^6-15x^4[/tex]+75x²-125
Explicación paso a paso:
7. (z²-3z-3z+9)(z-3) = (z²-6z+9)(z-3) = z³-6z²+9z-3z²+18z-27 = z³-9z²+27z-27
8. (pq²+7)(pq²+7)(pq²+7) = [tex](pq^4+7pq^2+7pq^2+49)(pq^2+7) = (pq^4+14pq^2+49)(pq^2+7) = pq^6+14pq^4+49pq^2+7pq^4+14pq^2+343 = pq^6+21pq^4+63pq^2+343[/tex]
9. (2n -1)(2n -1)(2n -1) = (4n²-2n-2n+2)(2n -1) = (4n²-4n+2)(2n -1) = 8n³-8n²+4n-4n²+4n-2 = 8n³-12n²+8n-2
10. (x²-5)(x²-5)(x²-5) = ([tex]{x}^4[/tex]-5x²-5x²+25)(x²-5) = ([tex]{x}^4[/tex]-10x²+25)(x²-5) = [tex]{x}^6-10x^4[/tex]+25x²-5[tex]{x}^4[/tex]+50x²-125 = [tex]{x}^6-15x^4[/tex]+75x²-125
