分解因式喔求完整点 1.y²-9(x+y)² 2.(x+y)²-16(x-y)²a²b²-0.01 x²y-2xy²+y三次方 16-(2a+3b)² (a²+4)²-16a² a²(a-b)²-b²(a+b)²

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 14:31:29
分解因式喔求完整点1.y²-9(x+y)²2.(x+y)²-16(x-y)²a²b²-0.01x²y-2xy²+y三次方

分解因式喔求完整点 1.y²-9(x+y)² 2.(x+y)²-16(x-y)²a²b²-0.01 x²y-2xy²+y三次方 16-(2a+3b)² (a²+4)²-16a² a²(a-b)²-b²(a+b)²
分解因式喔求完整点 1.y²-9(x+y)² 2.(x+y)²-16(x-y)²
a²b²-0.01 x²y-2xy²+y三次方 16-(2a+3b)² (a²+4)²-16a² a²(a-b)²-b²(a+b)²

分解因式喔求完整点 1.y²-9(x+y)² 2.(x+y)²-16(x-y)²a²b²-0.01 x²y-2xy²+y三次方 16-(2a+3b)² (a²+4)²-16a² a²(a-b)²-b²(a+b)²
y²-9(x+y)² =[y+3(x+y)][(y-3(x+y)]=(3x+4y)(-3x-2y)=-(3x+4y)(3x+2y)
(x+y)²-16(x-y)²=[x+y+4(x-y)][(x+y-4(x-y)]=(5x-3y)(5y-3x)
a²b²-0.01=(ab+0.1)(ab-0.1)
x²y-2xy²+y三次方=y(x²-2xy+y²)=y(x-y)²
16-(2a+3b)²=(4+2a+3b)(4-2a-3b)
(a²+4)²-16a² =(a²+4+4a)(a²+4-4a)=(a+2)²(a-2)²
a²(a-b)²-b²(a+b)²=[a(a-b)+b(a+b)][a(a-b)-b(a+b)]=(a²+b²)(a²-2ab-b²)