Question

因式分解（X2+Y2）2-4X2Y2

因式分解（X【这是字母X哈】2【这是2次方哈】+y2【2次方】）2【2次方】-【减号】4X【字母】2【2次方】y2【2次方】

Answer 1

你先将括号里的式子展开，得（x�0�5+y�0�5）�0�5-4x�0�5y�0�5=x^4+y^4+2x�0�5y�0�5-4x�0�5y�0�5=x^4+y^4-2x�0�5y�0�5=(x�0�5-y�0�5)�0�5注：x^4是x的4次方，y^4是y的4次方

Answer 2

（x^2+y^2)^2-4x^2y^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2
懂了吗？

Answer 3

（x�0�5+y�0�5）�0�5-4x�0�5y�0�5=（x�0�5+y�0�5-2xy)(x�0�5+2xy+y�0�5）=（x-y)�0�5（x+y)�0�5