Question

(1/2-c^2)(1/4+1/2c^2+c^4)+c^6

Answer 1

$(frac{1}{2} -c^2)( frac{1}{4} + frac{1}{2}c^2+c^4)+c^6=\\ =(frac{1}{2})^3-(c^2)^3+c^6=frac{1}{8}-c^6+c^6=frac{1}{8}\\\(a-b)(a^2+ab+b^2=a^3-b^3$