(1) 2axy+3a2y=ay(2x+3a)2axy + 3a^2y = ay(2x + 3a)2axy+3a2y=ay(2x+3a) (2) 4a3−2a2b=2a2(2a−b)4a^3 - 2a^2b = 2a^2(2a - b)4a3−2a2b=2a2(2a−b) (3) 3x3−2x2y+xy2=x(3x2−2xy+y2)3x^3 - 2x^2y + xy^2 = x(3x^2 - 2xy + y^2)3x3−2x2y+xy2=x(3x2−2xy+y2) (4) a2b+abc−a2c=a(ab+bc−ac)a^2b + abc - a^2c = a(ab + bc - ac)a2b+abc−a2c=a(ab+bc−ac) (5) xyz−yz2+2xy2=y(xz−z2+2xy)xyz - yz^2 + 2xy^2 = y(xz - z^2 + 2xy)xyz−yz2+2xy2=y(xz−z2+2xy) (6) a2b+a2c−ab2−b2c=ab(a−b)+c(a2−b2)=ab(a−b)+c(a−b)(a+b)=(a−b)(ab+bc+ca)a^2b + a^2c - ab^2 - b^2c = ab(a - b) + c(a^2 - b^2) = ab(a - b) + c(a - b)(a + b) = (a - b)(ab + bc + ca)a2b+a2c−ab2−b2c=ab(a−b)+c(a2−b2)=ab(a−b)+c(a−b)(a+b)=(a−b)(ab+bc+ca)