现化简,再求值:(3x-y)(x+2y)-2(x-3y)·(x-4y),其中x=4,y=1.5

问题描述:

现化简,再求值:(3x-y)(x+2y)-2(x-3y)·(x-4y),其中x=4,y=1.5

(3x-y)(x+2y)-2(x-3y)·(x-4y)
=3X^2+5XY-2Y^2-2(X^2-7XY+12Y^2)
=X^2+19XY-26Y^2,
当x=4,y=1.5
原式=16+19×4×3/2-26×9/4
=16+114-58.5
=71.5

(3x-y)(x+2y)-2(x-3y)·(x-4y)=3x²+5xy-2y²-2(x²-7xy+12y²)=3x²+5xy-2y²-2x²+14xy-24y²=x²+19xy-26y²当x=4,y=1.5时原式=16+114-26×9/4=71.5...