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1. 3( x - 1 ) - 2 \(\left|x+3\right|\)
= 3x - 3 - 2 ( x + 3 )
= 3x - 3 - 2x - 6
= x - 9
2. \(\left|x-3\right|\) - \(\left|4x-1\right|\)
= x - 3 - ( 4x - 1 )
= x - 3 - 4x + 1 = - 3x - 2
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a: \(P\left(x\right)=2x^3+x^2+x+2\)
\(Q\left(x\right)=x^3+x^2+x+1\)
b: \(P\left(-1\right)=2\cdot\left(-1\right)+1-1+2=0\)
\(Q\left(-1\right)=-1+1-1+1=0\)
Do đó: x=-1 là nghiệm chung của P(x), Q(x)
\(P\left(x\right)=2x^3-2x+x^2+3x+2\)
\(P\left(x\right)=2x^3+x^2+x+2\)
\(Q\left(x\right)=4x^3-3x^2-3x+4x-3x^3+4x^2+1\)
\(Q\left(x\right)=x^3+x^2+x+1\)
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\(P\left(-1\right)=2.\left(-1\right)^3+\left(-1\right)^2+\left(-1\right)+2\)
\(P\left(-1\right)=0\)
\(Q\left(-1\right)=\left(-1\right)^3+\left(-1\right)^2+\left(-1\right)+1\)
\(Q\left(-1\right)=0\)
Vậy x = -1 là nghiệm của P(x),Q(x)
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a) \(P_{\left(x\right)}=2x^3-2x+x^2+3x+2\)
\(P_{\left(x\right)}=2x^3+x^2+x+2\)
\(Q_{\left(x\right)}=4x^3-3x^2-3x+4x-3x^3+4x^2+1\)
\(Q_{\left(x\right)}=x^3+x^2+x+1\)
b) \(P_{\left(x\right)}+Q_{\left(x\right)}=\left(2x^3+x^2+x+2\right)+\left(x^3+x^2++x+1\right)\)
\(=3x^3+2x^2+2x+3\)
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a) 3(x-1)-2|x+3| = 3x-3-2(x+3) = 3x-3-2x+6 = (3x-2x)+(6-3)=x+3
b) 2|x-3|-|4x-1| = 2(x-3)-(4x-1) = 2x-6-4x+1 = (2x-4x)-(6-1) = -2x-5