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\(\Leftrightarrow x^2+4x+4+x-3-2\left(x^2-1\right)=9.\)
\(\Leftrightarrow-x^2+5x-6=0\)
\(\Leftrightarrow x^2-5x+6=0\Leftrightarrow x^2-2x-3x+6=0\Leftrightarrow x\left(x-2\right)-3\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x_1=2\\x_2=3\end{cases}}\)
\(\text{a , (x-3).(x^2+3x+9)+x(x+2).(2-x)=1 }\)
=(x3-33)+x(4-x2)=1
=x3-27+4x-x3=1
4x-27=1
4x=28
x=7
\(\text{b, (x+1)^3-(x-1)^3-6.(x-1)^2=-10}\)
=-0,5
\(\left(x-3\right)\left(x^2+3x+9\right)-x.\left(x+2\right).\left(x-2\right)=1\)
\(x^3-3^3-x.\left(x^2-2^2\right)=1\)
\(x^3-27-x^3+4x=1\)
\(-27+4x=1\)
\(4x=28\)
\(x=7\)
\(\left(x-3\right).\left(x^2+3x+9\right)-x.\left(x+2\right).\left(x-2\right)=1\)
\(\Leftrightarrow x^3-3^3-x.\left(x^2-2^2\right)=1\)
\(\Leftrightarrow x^3-27-x^3+4x=1\)
\(\Leftrightarrow-27+4x=1\)
\(\Leftrightarrow4x=28\)
\(\Leftrightarrow x=28:4\)
\(\Leftrightarrow x=7\)
\(\left(x-3\right)\left(x^2+3x+9\right)-x\left(x+2\right)\left(x-2\right)=1\)
\(\Leftrightarrow x^3-27-x\left(x^2-4\right)=1\)
\(\Leftrightarrow x^3-27-x^3+4x=1\)
\(\Leftrightarrow4x=28\)
\(\Leftrightarrow x=7\)