已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/11 17:16:35
已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值你

已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值
已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值

已知(a+b)^2=10,(a-b)^2=2,求a^4+b^4的值

你好:
(a+b)²+(a-b)²=2a²+2b²=12
(a+b)²-(a-b)²=4ab=8
a^4+b^4
=(a²+b²)²-2a²b²
=6²-2×4
=36-8
=28