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a) \(\left(x-5\right)\left(x+8\right)-\left(x+4\right)\left(x-1\right)\)
\(=\left(x^2+3x-40\right)-\left(x^2+3x-4\right)\)
\(=x^2+3x-40-x^2-3x+4\)
\(=-36\)
b)\(x^4\left(x^2-1\right)\left(x^2+1\right)\)
\(=x^4\left(x^4-1\right)\)
\(=x^8-x^4\)
a)\(-x^2\left(x^2-4\right)=-25\left(x^2-4\right)\)
\(\Leftrightarrow-x^2=-25\)
\(\Leftrightarrow x^2=25\)
\(\Leftrightarrow x=\pm5\)
\(M\left(x\right)+N\left(x\right)\)
\(=5x^3-x^2-4+2x^4-2x^2+2x+1\)
\(=2x^4+5x^3-3x^2+2x-3\)
\(M\left(x\right)-N\left(x\right)\)
\(=5x^3-x^2-4-\left(2x^4-2x^2+2x+1\right)\)
\(=5x^3-x^2-4-2x^4+2x^2-2x-1\)
\(=-2x^4+5x^3+x^2-2x-5\)
\(M\left(x\right)+P\left(x\right)=N\left(x\right)\)
\(\Rightarrow P\left(x\right)=N\left(x\right)-M\left(x\right)\)
\(\Rightarrow P\left(x\right)=2x^4-2x^2+2x+1-\left(5x^3-x^2-4\right)\)
\(\Rightarrow P\left(x\right)=2x^4-2x^2+2x+1-5x^3+x^2+4\)
\(\Rightarrow P\left(x\right)=2x^4-5x^3-x^2+2x+5\)
\(\left|x+1\right|+\left|x+2\right|+......+\left|x+2016\right|=2015x\)
\(\Rightarrow x+1+x+2+.....+x+2016=2015x\)
\(\Rightarrow2016x+\left(1+2+3+.....+2016\right)=2015x\)
\(\Rightarrow2016x+.......=2015x\)
Tự tính nha
\(\left|x-2\right|-2x=4\)
\(\Rightarrow x-2-2x=4\)
\(\Rightarrow-x=4+2\)
\(\Rightarrow-x=6\)
\(\Rightarrow x=-6\)