Question

解方程：(2x-3)^2=(2x+1)(2x-1)-2。化简：1.a(b-c)-b(c-a)+c(a-b)2.(x-1)(x-2)-3x(x+3)+2(x+2)(x-1)

Answer 1

解方程：(2x-3)^2=(2x+1)(2x-1)-2。
4x²-12x+9=4x²-1-2
-12x=-12
x=1

化简：1.a(b-c)-b(c-a)+c(a-b)
=ab-ac-bc+ab+ac-bc
=2ab-2bc
2.(x-1)(x-2)-3x(x+3)+2(x+2)(x-1)
=x²-3x+2-3x²-9x+2x²+2x-4
=-10x-2

Answer 2

(2x-3)^2=(2x+1)(2x-1)-2
x=1
a(b-c)-b(c-a)+c(a-b)
=ab-ac-bc+ab+ac-bc
=2ab-2bc
=2b(a-c)
(x-1)(x-2)-3x(x+3)+2(x+2)(x-1)
=-3*4
=-12

Answer 3

4x^2-12x+9=4x^2-1-2
-12x+9=-3
-12x=-12
x=1
ab-ac-bc+ab+ac-bc=2ab-2bc=2b(a-c)
x^2-3x+2-3x^2-9x+2x^2+2x-4=-10x-2