(2x+1)(2x-1)-(3-2x)(2x-3),其中x=2 ,先化简 再求值

问题描述:

(2x+1)(2x-1)-(3-2x)(2x-3),其中x=2 ,先化简 再求值

(2x+1)(2x-1)-(3-2x)(2x-3)
=[(2x)(2x)-1]+(2x-3)(2x-3)
=4x^+(2x-3)^-1
=4x^+4x^-12x+8
=8x^-12x+8
x=2代入得
8*4-12*2+8
=32-24+8
=8+8
=16

(2x+1)(2x-1)-(3-2x)(2x-3)
=[(2x)(2x)-1]+(2x-3)(2x-3)
=4x^+(2x-3)^-1
=4x^+4x^-12x+8
=8x^-12x+8 原式=16

(2x+1)(2x-1)-(3-2x)(2x-3)
=(2x)^2-1^2+(2x-3)^2
=4x^2-1+(4x^2-12x+9)
=8x^2-12x+8
把x=2代入
原式=8*4-24+8=16