a) $(4x+y)^2$
$=16x^2+8xy+y^2$
b) $(x-3y)^2$
$=x^2-6xy+9y^2$
c) $(x+2y)^2$
$=x^2+4xy+4y^2$
d) $(x-5y).(x+5y)$
$=x^2-25y^2$
a) $5x.(3x-2)-3x.(5x+3)=-38$
$⇔15x^2-10x-15x^2-9x=-38$
$⇔-19x=-38$
$⇔x=2$
b) $x^2+8x+16=0$
$⇔(x+4)^2 = 0$
$⇔x+4=0$
$⇔x=-4$
c) $2x.(x-3)+5.(x-3)=0$
$⇔(x-3).(2x+5)=0$
$⇔ \left[ \begin{array}{l}x-3=0\\2x+5=0\end{array} \right.$
$⇔ \left[ \begin{array}{l}x==3\\x=\dfrac{-5}{2}\end{array} \right.$