数学 因式分解问题
1。a4-3a2-42.(x-y)a-x+y3.2x3-16y34.5x2-13xy-6y25.x3+2x2-10x-20一张卷我就只剩这几道题不会了大家帮帮忙要详细的过...
1 。a4-3a2-4
2.(x-y)a-x+y
3. 2x3-16y3
4. 5x2-13xy-6y2
5.x3+2x2-10x-20
一张卷我就只剩这几道题不会了 大家帮帮忙 要详细的过程好吧 过程详细! 展开
2.(x-y)a-x+y
3. 2x3-16y3
4. 5x2-13xy-6y2
5.x3+2x2-10x-20
一张卷我就只剩这几道题不会了 大家帮帮忙 要详细的过程好吧 过程详细! 展开
1个回答
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1 。a4-3a2-4
=(a²-4)(a²+1)
=(a+2)(a-2)(a²+1)
2.(x-y)a-x+y
=a(x-y)-(x-y)
=(x-y)(a-1)
3. 2x³-16y³
=2(x³-8y³)
=2(x-2y)(x²+2xy+4y²)
4. 5x²-13xy-6y²
=5x²+2xy-15xy-6y²
=x(5x+2y)-3y(5x+2y)
=(5x+2y)(x-3y)
5.x3+2x2-10x-20
=x²(x+2)-10(x+2)
=(x+2)(x²-10)
=(a²-4)(a²+1)
=(a+2)(a-2)(a²+1)
2.(x-y)a-x+y
=a(x-y)-(x-y)
=(x-y)(a-1)
3. 2x³-16y³
=2(x³-8y³)
=2(x-2y)(x²+2xy+4y²)
4. 5x²-13xy-6y²
=5x²+2xy-15xy-6y²
=x(5x+2y)-3y(5x+2y)
=(5x+2y)(x-3y)
5.x3+2x2-10x-20
=x²(x+2)-10(x+2)
=(x+2)(x²-10)
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