a, \(5\left(x+4\right)^2+4\left(x-5\right)^2-9\left(4+x\right)\left(x-4\right)\)
\(=5x^2+40x+80+4x^2-40x+100-9x^2+36\)
\(=216\)
\(\Rightarrowđpcm\)
b, \(\left(x+2y\right)^2+\left(2x-y\right)^2-5\left(x+y\right)\left(x-y\right)-10\left(y+3\right)\left(y-3\right)\)
\(=x^2+4xy+4y^2+4x^2-4xy+y^2-5x^2+5y^2-10y^2+30\)
\(=30\)
\(\Rightarrowđpcm\)