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\(A=x^4+6x^2+8x^3-2x-3\)
\(B=3x^2+x^4+4x^3-3x+5\)\(\Rightarrow2B=6x^2+2x^4+8x^3-6x+10\)
\(\Rightarrow A-2B=x^4+6x^2+8x^3-2x-3\)\(-6x^2-2x^4-8x^3+6x-10\)
\(=-x^4+4x-13\)
Ta có
\(A=x^4+8x^3+6x^2-2x-3\)
\(B=x^4+4x^3+3x^2-3x+5\Rightarrow2B=2x^4+8x^3+6x^2-6x+10\)
\(A-2B=x^4+8x^3+6x^2-2x-3\)\(-2x^4-8x^3-6x^2+6x-10\)
\(A-2B=-x^4+4x-13\)
a.
\(3x^2\left(2x^3-x+5\right)=6x^5-3x^3+15x^2\)
\(\Rightarrow6x^5-3x^3+15x^2=6x^5-3x^3+15x^2\)
\(=6x^5-3x^2+15x^2-6x^5-3x^3+15x^2\)
= 0
b.
\(\left(4xy+3y-5x\right)x^2y=4x^3y^2+3x^2y^2-5x^3y\)
\(\Rightarrow4x^3y^2+3x^2y^2-5x^3y=4x^3y^2+3x^2y^2-5x^3y\)
= 0
\(\frac{2x-3}{\left(7-6x\right)^2}+\frac{x-2}{\left(7-6x\right)^2}=\frac{6x-3}{\left(3x-5\right)^2}-\frac{12x-10}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\frac{2x-3+x-2}{\left(7-6x\right)^2}=\frac{6x-3-12x+10}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\frac{3x-5}{\left(7-6x\right)^2}=\frac{7-6x}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\left(7-6x\right)^3=\left(3x-5\right)^3\)
\(\Leftrightarrow7-6x=3x-5\)
\(\Leftrightarrow7+5=3x+6x\)
\(\Leftrightarrow12=9x\)
\(\Leftrightarrow x=\frac{4}{3}\)
Vậy \(x=\frac{4}{3}\)
ta có : ( 15x3 -8x3-17x3) - (3x5+3x5)+(6x2 - 6x2)-2x+11 = -10x3 -2x + 11