\(a,=8\left(x^2-2xy+y^2\right)=8\left(x-y\right)^2\\ b,=9\left(x^2-y^2\right)=9\left(x-y\right)\left(x+y\right)\\ c,=\left(x^2-y^2\right)-\left(9x+9y\right)\\ =\left(x-y\right)\left(x+y\right)-9\left(x+y\right)=\left(x+y\right)\left(x-y-9\right)\\ d,=3\left(x^2-4x+4-4y^2\right)=3\left[\left(x-2\right)^2-4y^2\right]\\ =3\left(x-2y-2\right)\left(x+2y-2\right)\\ e,=4x^2+4x+9x+9=4x\left(x+1\right)+9\left(x+1\right)\\ =\left(4x+9\right)\left(x+1\right)\\ f,Sai.đề\)
a) \(8x^2-16xy+8y^2=8\left(x^2-2xy+y^2\right)=8\left(x-y\right)^2\)
b) \(9x^2-9y^2=9\left(x^2-y^2\right)=9\left(x-y\right)\left(x+y\right)\)
c) \(x^2-9x-9y-y^2=\left(x^2-y^2\right)-\left(9x+9y\right)=\left(x-y\right)\left(x+y\right)-9\left(x+y\right)=\left(x+y\right)\left(x-y-9\right)\)
d) \(3x^2-12x+12-12y^2=3\left(x^2-4x+4-4y^2\right)=3\left[\left(x-2\right)^2-4y^2\right]=3\left(x-2-4y\right)\left(x-2+4y\right)\)
e) \(4x^2+13x+9=\left(4x^2+4x\right)+\left(9x+9\right)=4x\left(x+1\right)+9\left(x+1\right)=\left(x+1\right)\left(4x+9\right)\)