设A=2x²-3XY+Y²,B=4X²-6XY-3Y²,若x-10的绝对值+(y+3)²=0,求B-2A的值

问题描述:

设A=2x²-3XY+Y²,B=4X²-6XY-3Y²,若x-10的绝对值+(y+3)²=0,求B-2A的值

解/x-10/+(y+3)²=0∴x-10=0,y+3=0∴x=10,y=-3∴B-2A=(4x²-6xy-3y²)-2(2x²-3xy+y²)=(4x²-4x²)+(-6xy+6xy)+(-3y²-2y²)=-5y²=-5×(-3)²=-45