a, \(x+5x^2=x\left(1+5x\right)\)
b, \(\left(x+1\right)^2-3\left(x+1\right)\)
\(=\left(x+1\right)\left(x+1-3\right)\)
\(=\left(x+1\right)\left(x-2\right)\)
c, \(2x^2y^3z+2xy^2=2xy\left(xy^2z+y\right)\)
a. x+5x2= x(1+5x)
b. (x+1)2-3(x+1) = (x+1)(x+1-3) = (x+1)(x-2)
c. 2x2y3z+2xy2= 2xy2(2xyz+1)