½(a²-2b²)²-2(a²-2b²)b²+2b^4 怎么分解因式
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 15:43:22
![½(a²-2b²)²-2(a²-2b²)b²+2b^4 怎么分解因式](/uploads/image/z/3816676-28-6.jpg?t=%26%23189%3B%28a%26%23178%3B-2b%26%23178%3B%29%26%23178%3B-2%28a%26%23178%3B-2b%26%23178%3B%29b%26%23178%3B%2B2b%5E4+%E6%80%8E%E4%B9%88%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F)
x)SS6HֺFI&)L5=Og/x&HNׂaNcLpc4qDd@Wg a`BH$~O7~qAb4m}ekogk 90AB
V4U
4@*,Th"A&
B5@^-
hrc]!F@EPB3UC8# '
Y
½(a²-2b²)²-2(a²-2b²)b²+2b^4 怎么分解因式
½(a²-2b²)²-2(a²-2b²)b²+2b^4 怎么分解因式
½(a²-2b²)²-2(a²-2b²)b²+2b^4 怎么分解因式
½(a²-2b²)²-2(a²-2b²)b²+2b^4
=½【(a²-2b²)²-4(a²-2b²)b²+4b^4】
=½(a²-2b²-2b²)²
=½(a²-4b²)²
=½(a-2b)²(a+2b)²
原式=1/2a^4-2a²b²+2b^4-2a²b²+4b^4+2b^4
=1/2a^4-4a²b²+8b^4
=1/2(a^4-8a²b²+16b^4)
=1/2(a²-4b²)²
=1/2(a+2b)²(a-2b)²
½(a²-2b²)²-2(a²-2b²)b²+2b^4
=1/2[(a²-2b²)²-4(a²-2b²)b²+4b^4 ]
=1/2(a^2-2b^2-2b^2)^2
=1/2(a^2-4b^2)^2
=1/2(a+2b)^2(a-2b)^2