Answer:
[tex]\huge\boxed{\sf (x+2)(x+16)}[/tex]
Step-by-step explanation:
[tex]\sf x^2 + 18x + 32\\\\Using \ mid-term \ break formula\\\\=x^2 + 16x+2x+32 \ \ \ \ \ \ [16 + 2 = 18 , 16*2 = 32]\\\\=x(x+16)+2(x+16)\\\\Taking \ (x+16) \ common\\\\= (x+2)(x+16)[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!