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nightbutterfly11
@nightbutterfly11
July 2022
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Решите последние 3 задания
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litanalove
A² -b² =(a -b)(a +b)
1) 64 -(n+4)² =(8 -(n+4))(8 +(n+4)) =(8 -n -4)(8+n+4) =(4 -n)(12 +n)
ответ: номер 1
2) (a²+4)² -16a² =(a²+4 -4a)(a²+4+4a) =(a +2)²(a -2)²
ответ: номер 5
3) a^5+a^4 -2a^3 -2a² +a+1 =a^4(a+1) -2a²(a+1) +(a+1) =(a+1)(a^4 -2a² +1) =(a+1)(a² -1)² =(a+1)(a²-1)(a²-1) =(a+1)(a+1)(a-1)(a+1)(a-1) =
(a+1)^3(a-1)²
ответ: номер 3
1 votes
Thanks 1
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Answers & Comments
1) 64 -(n+4)² =(8 -(n+4))(8 +(n+4)) =(8 -n -4)(8+n+4) =(4 -n)(12 +n)
ответ: номер 1
2) (a²+4)² -16a² =(a²+4 -4a)(a²+4+4a) =(a +2)²(a -2)²
ответ: номер 5
3) a^5+a^4 -2a^3 -2a² +a+1 =a^4(a+1) -2a²(a+1) +(a+1) =(a+1)(a^4 -2a² +1) =(a+1)(a² -1)² =(a+1)(a²-1)(a²-1) =(a+1)(a+1)(a-1)(a+1)(a-1) =
(a+1)^3(a-1)²
ответ: номер 3