数学高手来帮我解几道因式分解的题目,快啊!急啊,在线等 我步骤哦,帮我解一解a(x^2y^2)+b(y^2-x^2)-27x^4+18x^3-3x^2x^4-1a^4-2a^2b^2+b^4(a^2-a)^2-(a-1)^2有一道题写错了a(x^2-y^2)+b(y^2-x^2)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 20:00:36
![数学高手来帮我解几道因式分解的题目,快啊!急啊,在线等 我步骤哦,帮我解一解a(x^2y^2)+b(y^2-x^2)-27x^4+18x^3-3x^2x^4-1a^4-2a^2b^2+b^4(a^2-a)^2-(a-1)^2有一道题写错了a(x^2-y^2)+b(y^2-x^2)](/uploads/image/z/1167561-9-1.jpg?t=%E6%95%B0%E5%AD%A6%E9%AB%98%E6%89%8B%E6%9D%A5%E5%B8%AE%E6%88%91%E8%A7%A3%E5%87%A0%E9%81%93%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E7%9A%84%E9%A2%98%E7%9B%AE%2C%E5%BF%AB%E5%95%8A%21%E6%80%A5%E5%95%8A%2C%E5%9C%A8%E7%BA%BF%E7%AD%89+%E6%88%91%E6%AD%A5%E9%AA%A4%E5%93%A6%2C%E5%B8%AE%E6%88%91%E8%A7%A3%E4%B8%80%E8%A7%A3a%EF%BC%88x%5E2y%5E2%EF%BC%89%2Bb%EF%BC%88y%5E2-x%5E2%EF%BC%89-27x%5E4%2B18x%5E3-3x%5E2x%5E4-1a%5E4-2a%5E2b%5E2%2Bb%5E4%EF%BC%88a%5E2-a%EF%BC%89%5E2-%EF%BC%88a-1%EF%BC%89%5E2%E6%9C%89%E4%B8%80%E9%81%93%E9%A2%98%E5%86%99%E9%94%99%E4%BA%86a%EF%BC%88x%5E2-y%5E2%EF%BC%89%2Bb%EF%BC%88y%5E2-x%5E2%EF%BC%89)
数学高手来帮我解几道因式分解的题目,快啊!急啊,在线等 我步骤哦,帮我解一解a(x^2y^2)+b(y^2-x^2)-27x^4+18x^3-3x^2x^4-1a^4-2a^2b^2+b^4(a^2-a)^2-(a-1)^2有一道题写错了a(x^2-y^2)+b(y^2-x^2)
数学高手来帮我解几道因式分解的题目,快啊!
急啊,在线等 我步骤哦,帮我解一解
a(x^2y^2)+b(y^2-x^2)
-27x^4+18x^3-3x^2
x^4-1
a^4-2a^2b^2+b^4
(a^2-a)^2-(a-1)^2
有一道题写错了
a(x^2-y^2)+b(y^2-x^2)
数学高手来帮我解几道因式分解的题目,快啊!急啊,在线等 我步骤哦,帮我解一解a(x^2y^2)+b(y^2-x^2)-27x^4+18x^3-3x^2x^4-1a^4-2a^2b^2+b^4(a^2-a)^2-(a-1)^2有一道题写错了a(x^2-y^2)+b(y^2-x^2)
a(x^2-y^2)+b(y^2-x^2)
=(a-b)(x^2-y^2)=(a-b)(x-y)(x+y)
-27x^4+18x^3-3x^2=-3X^2(9X^2-6X+1)=-3x^2(3x-1)^2
x^4-1=(x^2-1)(x^2+1)=(x-10(x+1)(x^2+1)
a^4-2a^2b^2+b^4=(a^2-b^2)^2=(a-b)^2(a+b)^2
(a^2-a)^2-(a-1)^2=(a^2-a+a-1)(a^2-a-a+1)
=(a-1)(a+1)(a-1)^2=(a-1)^3(a+1)
-27x^4+18x^3-3x^2=-3x^2(9x^20-6x+1)=-3^2(3x-1)^2
x^4-1=(x^2+1)(x+1)(x-1)
a^4-2a^2b^2+b^4=(a^2-b^2)^2=(a+b)^2(a-b)^2
(a^2-a)^2-(a-1)^2 =a^2(a-1)^2-(a-1)^2=(a^2-1)(a-1)^2=(a+1)(a-1)^3