a)
\(B=6xy^2+7xy^3+8x^2y^3\\ =xy\left(6y+7y^2+8xy^2\right)\)
b)
\(M=x^6+2x^2y^3-x^5+xy-xy^5-x^6\\ =2x^2y^3-x^5+xy-xy^5\\ =xy\left(2xy^2+1-y^4\right)-x^5\\ =x\left[y\left(2xy^2+1-y^4\right)-x^4\right]\)
c)
\(N=7x^2y-4x^6+3y^2z+4x^6\\ =7x^2y+3y^2z\\ =y\left(7x^2+3yz\right)\)