(d+8)(d+2)

Apply the distributive property.

d(d+2)+8(d+2)

Apply the distributive property.

d⋅d+d⋅2+8(d+2)

Apply the distributive property.

d⋅d+d⋅2+8d+8⋅2

d⋅d+d⋅2+8d+8⋅2

Simplify each term.

Multiply d by d.

d2+d⋅2+8d+8⋅2

Move 2 to the left of d.

d2+2⋅d+8d+8⋅2

Multiply 8 by 2.

d2+2d+8d+16

d2+2d+8d+16

Add 2d and 8d.

d2+10d+16

d2+10d+16

Simplify (d+8)(d+2)