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帮我解几道因式分解..在线等!我会追加!

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/09/13 11:44:29
帮我解几道因式分解..在线等!我会追加!
100a^4-0.81a²
a^3m^4-49a
-25/121n^3+0.64n
x(^2n+2)-x(^2n)"n"为正整数
1/2x^4-2y^4
要详细过程哦,速度啊!
100a^4-0.81a²
=a^2(100a^2-0.81)
=a^2[(10a)^2-0.9^2]
=a^2(10a+0.9)(10a-0.9)
a^3m^4-49a
=a(a^2m^4-49)
=a[(am^2)^2-7^2]
=a(am^2+7)(am^2-7)
-25/121n^3+0.64n
=n(0.64-25/121n^2)
=n[0.8^2-(5/11n)^2]
=n(0.8+5/11n)(0.8-5/11n)
x(^2n+2)-x(^2n)
=x^(2n)(x^2-1)
=x^(2n)(x+1)(x-1)
1/2x^4-2y^4
=1/2(x^4-4y^4)
=1/2(x^2+2y^2)(x^2-2y^2)