Chapter R - Review of Basic Concepts - R.6 Rational Exponents - R.6 Exercises - Page 65: 104

$2y(4y-1)^{-3/7}(115y^2-60y+8)$

Factor out the least power of the variable expression $2y(4y-1)^{-3/7}$, we have: $6y^3(4y-1)^{-3/7}-8y^2(4y-1)^{4/7}+16y(4y-1)^{11/7}=2y(4y-1)^{-3/7}[3y^2-4y(4y-1)^{4/7+3/7}+8(4y-1)^{11/7+3/7}]=2y(4y-1)^{-3/7}[3y^2-4y(4y-1)+8(4y-1)^{2}]=2y(4y-1)^{-3/7}[3y^2-16y^2+4y+8(16y^2-8y+1)]=2y(4y-1)^{-3/7}(115y^2-60y+8)$