Phân tích các đa thức sau thành nhân tử:
\(a)\,\,xy + 11x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,{x^2} + 4{y^2} + 4xy - 16\)
A.\(\begin{array}{l}a)\,\,xy + 11x\, = x.(y + 11)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\\b)\,\,{x^2} + 4{y^2} + 4xy - 16 = (x - 2y + 4)(x + 2y - 4)\end{array}\)
B.\(\begin{array}{l}a)\,\,xy + 11x\, = x.(y + 11)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\\b)\,\,{x^2} + 4{y^2} + 4xy - 16 = (x + 2y + 4)(x - 2y - 4)\end{array}\)
C.\(\begin{array}{l}a)\,\,xy + 11x\, = y.(x + 11)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\\b)\,\,{x^2} + 4{y^2} + 4xy - 16 = (x + 2y + 4)(x + 2y - 4)\end{array}\)
D.\(\begin{array}{l}a)\,\,xy + 11x\, = x.(y + 11)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\\b)\,\,{x^2} + 4{y^2} + 4xy - 16 = (x + 2y + 4)(x + 2y - 4)\end{array}\)