\(a,2x^2-16x=2x\left(x-8\right)\\b,x^2-10x+24=x^2-6x-4x+24\\ =x\left(x-6\right)-4\left(x-6\right)\\ =\left(x-4\right)\left(x-6\right) \)
a)
\(2x^2-16x\\ =2x\left(x-8\right)\)
b)
\(x^2-10x+24\\ =x^2-10x+25-1\\ =\left(x-5\right)^2-1\\ =\left(x-6\right)\left(x+4\right)\)