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\(10^{n+1}-6.10^n\) sorry nhầm
=\(10^n.10-6.10^n\)
=\(10^n\left(10-6\right)\)
=\(10^n.4\)
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\(d,2,5.5^{n-3}.2.5+5^n-6.5^{n-1}=5.5.5^{n-3}+5^n-6.5^{n-1}=5^2.5^{n-3}+5^n-6.5^{n-1}\)
\(=5^{n-3+2}+5^n-6.5^{n-1}=5^{n-1}\left(1+5-6\right)=5^{n-1}.0=0\)
a, \(10^{n+1}-6.10^n=10^n\left(10-6\right)=4.10^n\)
b. \(2^{n+3}+2^{n+2}-2^{n+1}+2^n=2^n\left(2^3+2^2-2+1\right)=2^n\left(8+4-2+1\right)=11.2^n\)
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\(^{10^{n+1}-6.10^n}\)=\(^{10^n-10^n-6.10^n}\)
=\(^{4.10^n}\)
=>rút gọn thành 4.10^n
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a) \(10^n+1-6\cdot10^n=\left(1-6\right)10^n+1=-5\cdot10^n+1\)
b) \(90\cdot10^n-10^2-2+10^n+1=\left(90-1+1\right)\cdot10^n-2+1=90\cdot10^n-1\)
c) \(2,5\cdot56^n-3=\frac{5}{2}\cdot56^n-3\)
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Ta có:\(5^n.2,5-30.5^n-6.5^n-1=5^n.\left(25-30-6\right)-1=5^n.\left(-11\right)-1\)-1
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\(=\left(18x^{2n-3}+3x^n\right)-\left(18x^{2n-3}-2x^n\right)\)
\(=18x^{2n-3}+3x^n-18x^{2n-3}+2x^n\)
\(=\left(18x^{2n-3}-18x^{2n-3}\right)+\left(3x^n+2x^n\right)\)
\(=5x^n\)
4.10n nha bạn
10n + 1 - 6.10n
= 10n . 10 - 6.10n
= 10n . (10 - 6)
= 4.10n