Answer
$x^8+8x^6y+24x^4y^2+32x^2y^3+16y^4$
Work Step by Step
Use the binomial theorem formula (detailed on page 754) to solve the problem. Be careful in writing each term correctly.
$(x^2+2y)^4$
$1*(x^2)^4+4*(x^2)^3*(2y)+6*(x^2)^2*(2y)^2+4*(x^2)*(2y)^3+(2y)^4$
$x^8+8x^6y+24x^4y^2+32x^2y^3+16y^4$
