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90.10n -10n+2 +10n+1-20
= 90.10n - 10n.102 + 10n .10 - 20
=10n . ( 90 - 100 + 10 ) - 20
= 10n .0 -20
= 0 - 20
= -20
90.10n-10n+2+10n+1-20
=90.10n-10n.102+10n.10-20
=10n.90-10n.100+10n.10-20
=10n.(90-100+10)-20
=10n.0-20
=0-20
=-20
90.10n-10n+2+10n+1-20
=10n+1(9-10+1)-20=10n+1.0-20=0-20=-20
B3:\(\Rightarrow90.10^n-10^n.10^2+10^n.10-20\Rightarrow10^n.\left(90-10^2\right)+10^n.10-20\)
\(\Rightarrow10^n.\left(90-100\right)+10^n.10-20\Rightarrow-10.10^n+10^n.10-20\Rightarrow-20\)
\(A=-\left(x^2-x+5\right)=-\left(x^2-2.\frac{1}{2}x+\frac{1}{4}+\frac{19}{4}\right)=-\left[\left(x-\frac{1}{2}\right)^2+\frac{19}{4}\right]\)
\(=-\left(x-\frac{1}{2}\right)^2-\frac{19}{4}\le-\frac{19}{4}\)
Vậy \(A_{min}=-\frac{19}{4}\Leftrightarrow x-\frac{1}{2}=0\Rightarrow x=\frac{1}{2}\)
Bài làm:
a) \(M=90.10^n-10^{n+2}+10^{n+1}\)
\(M=9.10.10^n-10^{n+2}+10^{n+1}\)
\(M=10^{n+1}\left(9-10+1\right)\)
\(M=10^{n+1}.0=0\)
b) \(N=x\left(x+y\right)-y\left(x+y\right)\)
\(N=\left(x-y\right)\left(x+y\right)\)
\(N=x^2-y^2\)
c) \(P=y\left(x^{n-1}+y^{n-1}\right)-x^{n-1}\left(x+y\right)\)
\(P=x^{n-1}y+y^n-x^n-x^{n-1}y\)
\(P=y^n-x^n\)
Học tốt!!!!
90.10n - 10n+2 + 10n+1 - 20
= 9.10.10n - 10n+1 . 10 + 10n+1 - 20
= 9.10n+1 - 10n+1 . 10 + 10n+1 - 20
= 10n+1.(9 - 10 + 1) - 20
= 10n+1.0 - 20
= 0 - 20
= -20