已知x+y=7,xy=2,2乘x的平方+2乘y的平方和(x-y)的平方的值

2025-06-28 06:13:03
推荐回答(1个)
回答1:

2x² + 2y²
= 2(x² + y²)
= 2(x² + y² + 2xy - 2xy)
= 2(x² + y² + 2xy) - 4xy
= 2(x + y)² - 4xy
= 2×7² - 4×2
= 98 - 8
= 90

(x - y)²
= x² + y² - 2xy
= x² + y² + 2xy - 4xy
= (x + y)² - 4xy
= 7² - 4×2
= 49 - 8
= 41