Ответ:
(-2+2i)^5=32(i^5-5i^4+10i^3-10i^2+5i^2-1)
Объяснение:
(-2+2i)^5=
(-2)^5+5*(-2)^4 *2i+10*(-2)^3 *(2i)^2 +10*(-2)^2 *(2i)^3 +5*(-2)*(2i)^4 +(2i)^5=
-32+160i-320i^2+320i^3-160i^4+32i^5=
32(i^5-5i^4+10i^3-10i^2+5i^2-1)
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Answers & Comments
Ответ:
(-2+2i)^5=32(i^5-5i^4+10i^3-10i^2+5i^2-1)
Объяснение:
(-2+2i)^5=
(-2)^5+5*(-2)^4 *2i+10*(-2)^3 *(2i)^2 +10*(-2)^2 *(2i)^3 +5*(-2)*(2i)^4 +(2i)^5=
-32+160i-320i^2+320i^3-160i^4+32i^5=
32(i^5-5i^4+10i^3-10i^2+5i^2-1)