Answer
$4\pi x^2+22\pi x+28\pi$
Work Step by Step
Where r is the radius of the cylinder and h is its height, the surface area of a cylinder is
$2\pi r^2+2\pi rh$
Substitute the given values for r and h, and simplify the expression.
$2\pi(x+2)^2+2\pi(x+2)(x+5)\longrightarrow$ rewrite the square
$2\pi(x+2)(x+2)+2\pi(x+2)(x+5)\longrightarrow$ use FOIL to multiply the binomials
$2\pi(x^2+2x+2x+4)+2\pi(x^2+5x+2x+10)\longrightarrow$ combine like terms
$2\pi(x^2+4x+4)+2\pi(x^2+7x+10)\longrightarrow$ factor out $2\pi$
$2\pi(x^2+4x+4+x^2+7x+10)\longrightarrow$ combine like terms
$2\pi(2x^2+11x+14)\longrightarrow$ use the distributive property to write in standard form
$4\pi x^2+22\pi x+28\pi$
