作业帮 > 数学 > 作业

(1)x(x+y+z)+yz (2)x²(a-1)+y²(1-a)

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/05/22 10:29:47
(1)x(x+y+z)+yz (2)x²(a-1)+y²(1-a)
(3)x^4-2x²+1 (4) m²-8m+16
(5)(xy)²+18xy+81 (6)a²-24a+144
(7)64x²-80xy+25y²
1)x(x+y+z)+yz =x(x+z)+y(x+z)=(x+y)(x+z)
2)x2(a-1)+y2(1-a)=(a-1)(x2-y2)=(a-1)(x-y)(x+y)
3)x^4-2x2+1=(x2-1)2=(x-1)(x+1)(x-1)(x+1)
4) m2-8m+16=(m-4)2=(m-4)(m-4)
5)(xy)2+18xy+81=(xy+9)2=(xy+9)(xy+9)
6)a2-24a+144=(a-12))2=(a-12)(a+12)
7)64x2-80xy+25y2=(8x-5y)2=(8x-5y)(8x-5y)