先化简,在求值:(1)已知x^2-5x=14,求(x-1)(2x-1)-(x+1)^2+1的值
问题描述:
先化简,在求值:(1)已知x^2-5x=14,求(x-1)(2x-1)-(x+1)^2+1的值
(2)已知x(x-1)-(x^2-y)=-3,求x^2+y^2-2xy的值
答
1、(x-1)(2x-1)-(x+1)^2+1
=2x²-x-2x+1-x²-2x-1+1
=x²-5x+1
因为x^2-5x=14
(x-1)(2x-1)-(x+1)^2+1
=14+1
=15
2、x(x-1)-(x^2-y)
=x²-x-x²+y
=y-x
=-3
x^2+y^2-2xy
=(y-x)²
=(-3)²
=9