Question

desarrolla los siguientes binomios al cubo
7. (z-3) (z - 3)(z-3)
8. (pq2 + 7)3=
9. (2n -1)3=
2
10. (x2-5)3=​

Answer 1

Respuesta:

7. z³-9z²+27z-27

8. $pq^6+21pq^4+63pq^2+343$

9. 8n³-12n²+8n-2

10.  ${x}^6-15x^4$+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) = $(pq^4+7pq^2+7pq^2+49)(pq^2+7) = (pq^4+14pq^2+49)(pq^2+7) = pq^6+14pq^4+49pq^2+7pq^4+14pq^2+343 = pq^6+21pq^4+63pq^2+343$

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) = (${x}^4$-5x²-5x²+25)(x²-5) = (${x}^4$-10x²+25)(x²-5) = ${x}^6-10x^4$+25x²-5${x}^4$+50x²-125 = ${x}^6-15x^4$+75x²-125