\(-A=x^2-6x+9=\left(x-3\right)^2\Rightarrow A=-\left(x-3\right)^2=\left(3-x\right)\left(x-3\right)\)
\(B=\left(3x+1\right)^2-\left(x+1\right)^2=\left(3x+1-x-1\right)\left(3x+1+x+1\right)=2x\left(4x+2\right)\)
\(A=6x-9-x^2\)
\(=-\left(x^2-6x+9\right)\)
\(=-\left(x-3\right)^2\)
\(B=\left(3x+1\right)^2-\left(x+1\right)^2\)
\(=\left(3x+1+x+1\right)\left(3x+1-x-1\right)\)
\(=\left(4x+2\right).2x\)
\(A=6x-9-x^2\)
\(=-\left(x^2-6x+9\right)\)
\(=-\left(x-3\right)^2\)
\(B=\left(3x+1\right)^2-\left(x+1\right)^2\)
\(=\left(3x+1+x+1\right)\left(3x+1-x-1\right)\)
\(=\left(4x+2\right).2x\)