初二一道数学题不会~~~~
问题描述:
初二一道数学题不会~~~~
(x²-4)×(x²-10x+21)+100证明此的值为非负数
答
(x²-4)×(x²-10x+21)+100= (x+2)(x-2)(x-3)(x-7)+100= (x^2 - 4)((x-5)^2 - 4) + 100= x^2(x-5)^2 - 4(x^2+(x-5)^2) + 16 + 100= (x(x-5))^2 - 4(2x^2-10x)-100+16+100= (x(x-5))^2 - 8x(x-5)+16= (x(...