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BlackCat2020
@BlackCat2020
March 2022
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Разложите на множители многочлена.
(2p+5)2-25
x^6+y^2
(p+3)^3-27
(a+1)^4-(a-1)^4
Заранее спасибо.
И если можно с объяснением.
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Answers & Comments
pomoshnik09
1) (2p+5)²-25=(2p+5-5)(2p+5+5)=2p(2p+10)
2) x^6+y^2 не возможно разложить на множители
3)(p+3)³-27= (P+3)³-3³=(p+3-3)((p-3)²+3(p+3)+3²=p(p²-6p+9+3p+9+9)=
=p(p²-3p27)
4) (a+1)^4-(a-1)^4= ((a+1)²-(a-1)²)((a+1)²+(a-1)²)=(a²+2a+1-a²+2a-1)*
*(a²+2a+1+a²-2a+1)=4a(2a²+2)=4a*2(a²+1)=8a(a²+1)
2 votes
Thanks 1
BlackCat2020
Спасибо огромное!))) Прям выручили,еще раз спасибо)))))
pomoshnik09
приятно
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Answers & Comments
2) x^6+y^2 не возможно разложить на множители
3)(p+3)³-27= (P+3)³-3³=(p+3-3)((p-3)²+3(p+3)+3²=p(p²-6p+9+3p+9+9)=
=p(p²-3p27)
4) (a+1)^4-(a-1)^4= ((a+1)²-(a-1)²)((a+1)²+(a-1)²)=(a²+2a+1-a²+2a-1)*
*(a²+2a+1+a²-2a+1)=4a(2a²+2)=4a*2(a²+1)=8a(a²+1)