\(a,A=x^2-10x+16\)
\(=x^2-2x-8x+16\)
\(=x\left(x-2\right)-8\left(x-2\right)\)
\(=\left(x-2\right)\left(x-8\right)\)
\(b,10x-23-x^2\)
\(=-x^2+10x-23\)
\(=-\left(x^2-10x+23\right)\)
\(=-\left[\left(x^2-2.x.5+5^2\right)-5^2+23\right]\)
\(=-\left(x-5\right)^2+2\)
\(c,x^2+5x-6\)
\(=x^2-x+6x-6\)
\(=x\left(x-1\right)+6\left(x-1\right)\)
\(=\left(x-1\right)\left(x+6\right)\)
a) \(A=x^2-10x+16\)
\(=x^2-8x-2x+16\)
\(=x\left(x-8\right)-2\left(x-8\right)\)
\(=\left(x-2\right)\left(x-8\right)\)
c)\(x^2+5x-6=x^2-x+6x-6=x\left(x-1\right)+6\left(x-1\right)=\left(x-1\right)\left(x+6\right)\)