问题标题:
帮我做13道初二数学题2准确率高3好的话加分一,运用乘法公式计算(1)(x-y-z)²(2)(x-y-1)(1-x-y)(3)(x+3)(x-3)+(x²+9)(4)(x+6)²-(6-x)²(5)(a+2b+c)²(6)
问题描述:
帮我做13道初二数学题
2准确率高
3好的话加分
一,运用乘法公式计算
(1)(x-y-z)²
(2)(x-y-1)(1-x-y)
(3)(x+3)(x-3)+(x²+9)
(4)(x+6)²-(6-x)²
(5)(a+2b+c)²
(6)(a-2b+3c)(a+2b-3c)
(7)(4m²-3n²)²
(8)(m+n)(m-n)(m²-n²)
(9)[(x+3y)(x-3y)]²
(10)(2x+y-3)²
二.计算
(1)(1-y)²(1-y)²
(2)2(x+y)²-2y(y-2x)
(3)(x-2y)(x-2y)-(x-2y)²
刘金贵回答:
一、(1)(x-y-z)²=x²+y²+z²-2xy-2xz+2yz(2)(x-y-1)(1-x-y)=[-y+(x-1)][-y-(x-1)]=(-y)²-(x-1)²=y²-x²+2x-1(3)(x+3)(x-3)+(x²+9)=x²-9+x²+9=2x²(4)(x+6)²-(6-x)²=[x+6+(6-x)][x+6-(6-x)]=12*2x=24x(5)(a+2b+c)²=a²+4b²+c²+4ab+2ac+4bc(6)(a-2b+3c)(a+2b-3c)=[a-(2b-3c)][a+(2b-3c)]=a²-(2b-3c)²=a²-4b²+12bc-9c²(7)(4m²-3n²)²=16m^4-24m²n²+9n²(8)(m+n)(m-n)(m²-n²)=(m²-n²)²=m^4-2m²n²+n^4(9)[(x+3y)(x-3y)]²=[x²-9y²]²=x^4-18x²y²+81y^4(10)(2x+y-3)²=4x²+4xy+y²-12x-6y+9二、(1)(1-y)²(1-y)²=(y-1)^4=y^4-4y^3+6y²-4y+1(2)2(x+y)²-2y(y-2x)=2x²+4xy+2y²-2y²+4xy=2x²+8xy(3)(x-2y)(x-2y)-(x-2y)²=(x-2y)²-(x-2y)²=0
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