初中数学八年级上完全平方公式的几道题,帮忙解下.步骤请详细点.一.(1) .____+5n)²=1/9m²-_____+_____.二计算(1).(3a+2b)² (2) (-x+2y)² (3).(a+b)(-a-b) (4).(x+y)²-(x+y)(x-y) 三.先化简,再求值(1) .(2a+b)²-2a(a-b)-(2a²+b²),其中a=√3+1. b=√3-1(2).(3x+2)(3x-2)-5x(x-1)-(2x-1)²,其中x=-1/3(3).(a+b)²+(a-b)(2a+b) -3a²,其中a=-2-√3, b=√3-2步骤详细,麻烦快点

问题描述:

初中数学八年级上完全平方公式的几道题,帮忙解下.步骤请详细点.
一.(1) .____+5n)²=1/9m²-_____+_____.
二计算
(1).(3a+2b)² (2) (-x+2y)² (3).(a+b)(-a-b) (4).(x+y)²-(x+y)(x-y)
三.先化简,再求值
(1) .(2a+b)²-2a(a-b)-(2a²+b²),其中a=√3+1. b=√3-1
(2).(3x+2)(3x-2)-5x(x-1)-(2x-1)²,其中x=-1/3
(3).(a+b)²+(a-b)(2a+b) -3a²,其中a=-2-√3, b=√3-2
步骤详细,麻烦快点

一(-1/3m+5n)2=1/9m2 - 10/3mn + 25n2
二①.(3a+2b)2 = 9a2 + 12ab + 4b2
② (-x+2y)2 = x2 - 4xy + 4y2
③(a+b)(-a-b) = - (a +b)( a+b) =- ( a2 + 2ab+ b2) = - a2 - 2ab - b2
④(x+y)2-(x+y)(x-y) = x2 +2xy +y2 -(x2 -y2) = x2 +2xy +y2 - x2 + y2 =2y2 + 2xy
三①(2a+b)2-2a(a-b)-(2a2+b2)= 4a2 + 4ab + b2 - 2a2 + 2ab - 2a2 - b2= 6ab =6(√3+1)(√3-1) =12
②(3x+2)(3x-2)-5x(x-1)-(2x-1)2 = 9x2 - 4 - 5x2 + 5x - 4x2 + 4x -1 = 9x - 5 = 9*(-1/3) - 5 = - 8
③(a+b)2+(a-b)(2a+b) -3a2 = a2 + 2ab + b2 + 2a2 +ab -2ab - b2 - 3a2 = ab =(-2-√3)(√3-2)=1

一、(1)(-1/3 m+5n)²=1/9m²-10/3mn+25n²
二、(1)(3a+2b)²
=(3a)²+2×3a×2b+(2b)²
=9a²+12ab+4b²
(2)(-x+2y)²
=x² -4xy+4y²
(3)(a+b)(-a-b)
=-(a+b)(a+b)
=-(a²+2ab+b²)
=-a²-2ab-b²
(4)(x+y)²-(x+y)(x-y)
=(x+y)(x+y-x+y)
=(x+y)2y
=2xy+2y²
三、(1)(2a+b)²-2a(a-b)-(2a²+b²)
=4a²+b²+4ab-2a²+2ab-2a²-b²
=6ab
∴当a=√3+1,b=√3-1时
原式=6(√3+1)(√3-1)=6×2=12
(2)(3x+2)(3x-2)-5x(x-1)-(2x-1)²
=9x²-4-5x²+5x-(4x²+1-4x)
=9x²-4-5x²+5x-4x²-1+4x
=9x-5
∴当x=-1/3时,
原式=9×(-1/3)-5=-8
(3)(a+b)²+(a-b)(2a+b) -3a²
=a²+2ab+b²+2a²-ab-b²-3a²
=ab
∴当a=-2-√3,b=√3-2时,
原式=(-2-√3)(√3-2)=-(2+√3)(√3-2)=-(3-4)=1