a) \(6^2-11x+3\)
\(=6x^2-2x-9x+3\)
\(=\left(6x^2-2x\right)-\left(9x-3\right)\)
\(=2x\left(3x-1\right)-3\left(3x-1\right)\)
\(=\left(2x-3\right)\left(3x-1\right)\)
b)\(2x^2+3x-27\)
\(=2x^2-6x+9x-27\)
\(=\left(2x^2-6x\right)+\left(9x-27\right)\)
\(=2x\left(x-3\right)+9\left(x-3\right)\)
\(=\left(2x+9\right)\left(x-3\right)\)
c)\(2x^2-5xy+3y^2\)
\(=2x^2-2xy-3xy+3y^2\)
\(=\left(2x^2-2xy\right)-\left(3xy-3y^2\right)\)
\(=2x\left(x-y\right)-3y\left(x-y\right)\)
\(=\left(2x-3y\right)\left(x-y\right)\)
d)\(2x^2-5xy-3y^2\)
\(=2x^2+xy-6xy-3y^2\)
\(=\left(2x^2+xy\right)-\left(6xy+3y^2\right)\)
\(=x\left(2x+y\right)-3y\left(2x+y\right)\)
\(=\left(x-3y\right)\left(2x+y\right)\)
