化简,在求值:(x-y)(x-2y)+(x+2y)(x-3y),其中x=4,y=1.5.

问题描述:

化简,在求值:(x-y)(x-2y)+(x+2y)(x-3y),其中x=4,y=1.5.

第一步化简结果为xy-2xy-xy+2y^2+x^2-3xy+2xy-6y^2 然后合并同类项结果为想x^2-3xy-4y^2 最后把x=4,y=1.5带入最后结果为-11

(x-y)(x-2y)+(x+2y)(x-3y)
=x²-xy-2xy+2y²+x²+2xy-3xy-6y²
=2x²-4xy-4y²
将x=4,y=1.5带入上式得
2*4²-4*4*1.5-4*1.5²
=32-24-9
=-1

(x-y)(x-2y)+(x+2y)(x-3y)
=2x²-4xy-4y²
=-1


(x-y)(x-2y)+(x+2y)(x-3y)
=2x²-4xy-4y²
=2x16-4x4x1.5-4x1.5²
=-1