$B=4x-4x^2-15$
$=-(4x^2-4x+15)$
$=-[(2x)^2-2.2x+1+14]$
$=-(2x-1)^2-14$
$(2x-1)^2≥0⇒-(2x-1)^2≤0$
$⇒-(2x-1)^2-14≤-14$
Vậy $B$ đạt GTLN $=-14$ khi $2x-1=0⇔x=\dfrac{1}{2}$
$C=(2-x)(x+4)$
$=-x^2+2x-4x+8$
$=-x^2-2x+8$
$=-(x^2+2x-8)$
$=-(x^2+2.1.x+1-9)$
$=-(x+1)^2+9$
$(x+1)^2≥0⇒-(x+1)^2≤0$
$⇒-(x+1)^2+9≤9$
Vậy $C$ đạt GTLN $=9$ khi $x+1=0⇔x=-1$