Question

X的4次方减去11x平方y平方加上y的4次方因式分解

你先做的做错了

Answer 1

x⁴-11x²y²+y⁴
=x⁴-2x²y²+y⁴-9x²y²
=(x²-y²)²-(3xy)²
=(x²-y²+3xy)(x²-y²-3xy)

Answer 2

将中间项拆分开成两项如下：
x⁴-11x²y²+y⁴
=x⁴-2x²y²+y⁴-9x²y²
=(x²-y²)²-(3xy)²
=(x²-y²+3xy)(x²-y²-3xy)