is (x+y)^2 = x^2+y^2 or x^2+2xy+y^2?
as the question stated.
Thanks
回答 (10)
✔ 最佳答案
(x + y)² = x² + 2xy + y²
(x+Y)^2 = (x+Y) (x+Y) = x^2+xy+xy+y^2 = x^2+2xy+y^2
(x + y)^2
= (x + y)(x + y)
= x*x + y*x + x*y + y*y
= x^2 + xy + xy + y^2
= x^2 + 2xy + y^2
(x + y)(x + y) = x² + xy + xy + y² = x² + 2xy + y²
The second one...
Try (x,y)=(2,3)
then
(x+y)²=(2+3)² =25
and
x²+y²=2²+3²=13 <> 25
but
x²+2xy+y²=13+2*2*3=25
收錄日期: 2021-05-01 11:58:52
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