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IDontKnow46
@IDontKnow46
August 2022
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Представьте в виде произведения: [tex]A) ( x^{2} +2) ^{2} -4( x^{2} +2)+4
[/tex]
[tex]B) a^{2}- x^{2} -6x-9[/tex]
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sedinalana
Verified answer
A
(x²+2)²-4(x²+2)+4=[(x²+2)-2]²=(x²+2-2)²=(x²)²=x^4
B
a²-x²-6x-9=a²-(x²+6x+9)=a²-(x+3)²=(a-x-3)(a+x+3)
1 votes
Thanks 1
IDontKnow46
Объясните, пожалуйста, почему (x²+2)²-4(x²+2)+4=((x²+2)-2)², а то меня репет будет спрашивать, а я всё понять не могу.
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Answers & Comments
Verified answer
A(x²+2)²-4(x²+2)+4=[(x²+2)-2]²=(x²+2-2)²=(x²)²=x^4
B
a²-x²-6x-9=a²-(x²+6x+9)=a²-(x+3)²=(a-x-3)(a+x+3)