1) ..=4n^2(m+3n)+m+3n=(4n^3+1)(m+3n)
2) ..=y^2(5n-m)-2y(5n-m)=(y^2-2y)(5n-m)
3) ..=km(m+1)+lm(m+1)-pm(m+1)=(km+lm+pm)(m+1)
4) ..=3a(7y^2-2y+1)-x(7y^2-2y+1)=(3a-x)(7y^2-2y+1)
5) ..=l^2(8xy-7m)-p^2(8xy-7m)=(l^2-p^2)(8xy-7m)
6) ..=4ab^2(ab+m)-9bm^2(ab+m)=(4ab^2-9bm^2)(ab+m)
7) 8ab(3m-2n^2)+14cd(3m-2n^2)=(8ab+14cd)(3m-2n^2)
8) ..=3b^2(a-b)-c(a-b)+d(a-b)=(3b^2-c+d)(a-b)