a: \(2x^3y-8x^2y+8xy\)
\(=2xy\cdot x^2-2xy\cdot4x+2xy\cdot4\)
\(=2xy\left(x^2-4x+4\right)=2xy\left(x-2\right)^2\)
b: 3x(x+5)-2(5+x)
=3x(x+5)-2(x+5)
=(x+5)(3x-2)
c: \(x\left(y^2+1\right)+4\left(y^2+1\right)\)
\(=\left(y^2+1\right)\left(x+4\right)\)
d: \(\left(2x-3\right)^2-25y^2\)
\(=\left(2x-3\right)^2-\left(5y\right)^2\)
=(2x-3-5y)(2x-3+5y)
\(a)2x^3y-8x^2y+8xy =2xy.x^2-8x^2y+2xy.4 =2xy(x^2-4x+4) =2xy(x-2)^2\)
\(b)3x(x+5)-2(5+x) =(x+5)(3x-2)\)
\(c) \)\(x\left(y^2+1\right)+4\left(1+y^2\right)=\left(1+y^2\right)\left(x+4\right)\)
\(d)(2x-3)^2-25y^2 =(2x-3)^2-(5y)^2 =(2x-3-5y)(2x-3+5y)\)
c) 2x2(x +1) + 4x(x +1); d) 2 x(y - 1) - 2
