a)
[tex]{ \left(2 \sqrt{ 8 \phantom{\tiny{!}}} - \sqrt{ 3 \phantom{\tiny{!}}} \right) }^{ 2 } +2 \sqrt{ 3 \phantom{\tiny{!}}} \\(\sqrt{16} -\sqrt{3} )^{2} +2\sqrt{3} \\16-8\sqrt{3} +3+2\sqrt{3} \\19-6\sqrt{2}[/tex]
b)
[tex]{ \left(2x-3y \right) }^{ 2 } -(x+2y )\\4x^{2} -12xy+9y^{2} -x-2y\\4x^{2} +9y-12xy-x-2y[/tex]
c)
[tex]\left( 2x+y \right) \left( 2x-y \right) +4 { y }^{ 2 } \\4x^{2} -y^{2} +4y^{2}\\4x^{2} +3y^{2}[/tex]
d)
[tex]\left( x- \sqrt{ 2 \phantom{\tiny{!}}} y \right) \left( 3x-y \right) +5xy \\3x^{2} -xy-3xy\sqrt{2} -y^2\sqrt{2} +5xy\\3x^{2} +4xy-3xy\sqrt{2} -y^2\sqrt{2}[/tex]
e)
[tex]{ \left(x+y \right) }^{ 2 } - \left( x-y \right) \left( x+y \right) \\x^{2} +2xy+y^{2} -x^{2} +y^{2} \\2y^{2} +2xy[/tex]
