Question

计算题和因式分解 急求急求啊 ~ 各位帮帮忙啊！！要过程！！！

1.（2x+1）²-（-2+1）²
2.(x+y-3)(x+y+3)
3.(x+1)(x²+1)(x∧4+)(x-1)
4（3x+1）²（3x-1)²
因式分解：
1.a∧4b∧4—c∧4
2a²-b²-c²＋2bc

Answer 1

1.（2x+1）²-（-2x+1）²
=（2x+1）²-（2x-1）²
=(2x+1-2x+1)(2x+1+2x-1)
=2*4x
=8x

2.(x+y-3)(x+y+3)
=(x+y)^2-9
=x^2+2xy+y^2-9

3.(x+1)(x²+1)(x^4+1)(x-1)
=(x-1)(x+1)(x²+1)(x^4+1)
=(x²-1)(x²+1)(x^4+1)
=(x^4-1)(x^4+1)
=x^8-1

4（3x+1）²（3x-1)²
=[(3x+1)(3x-1)]^2
=(9x^2-1)^2
=81x^2-18x^2+1

因式分解：
1.a^4b^4—c^4
=(a^2b^2-c^2)(a^2b^2+c^2)
=(ab-c)(ab+c)(a^2b^2+c^2)

2.a²-b²-c²＋2bc
=a²-(b²+c²-2bc)
=a²-(b-c)²
=(a-b+c)(a+b-c)