4X2+4xy-3y2+2x+11y-6因式分解

4X2+4xy-3y2+2x+11y-6因式分解


4x^2+4xy-3y^2+2x+11y-6
=(2x-y)(2x+3y)+2x+11y-6
=(2x-y)(2x+3y)+3(2x+3y)-4x+2y-6
=(2x+3y)(2x-y+3)-2(2x-y+3)
=(2x-y+3)(2x+3y-2)



分解因式:x2-3x-4=______.


x2-3x-4=(x+1)(x-4).



X2-3X-43因式分解


x^2-3x=43=(x-3/2)^2-9/4-43.
=(x-3/2)^2-181/4.
=(x-3/2)^2-(√181/2)^2.
=(x-3/2+√181/2)(x-3/2-√181/2).