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Tatyanka555
@Tatyanka555
July 2022
1
15
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Преобразуйте в многочлен выражение:
1)(а + 1)(а - 2)(а - 3)
2)([tex] a^{2} [/tex] - 2а + 1)([tex] a^{2} [/tex] + 3а - 2)
3)(а + 1)([tex] a^{4} [/tex] - [tex] a^{3} [/tex] + [tex] a^{2} [/tex] - а + 1)
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ekaterinkamiss
Verified answer
1)=(a^2-2a+a-2)(a-3)=(a^2-a-2)(a-3)=a^3-a^2-2a-3a^2+3a+6=a^3-4a^2+a+6
2)=a^4+3a^3-2a^2-2a^3-6a^2+4a+a^2+3a-2=a^4+a^3-7a^2+7a-2
3)=a^5-
a^4
+
a^3
-
a^2
+
a
+
a^4
-
a^3
+
a^2
-
a
+1=a^5+1
24 votes
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Answers & Comments
Verified answer
1)=(a^2-2a+a-2)(a-3)=(a^2-a-2)(a-3)=a^3-a^2-2a-3a^2+3a+6=a^3-4a^2+a+62)=a^4+3a^3-2a^2-2a^3-6a^2+4a+a^2+3a-2=a^4+a^3-7a^2+7a-2
3)=a^5-a^4+a^3-a^2+a+a^4-a^3+a^2-a+1=a^5+1