1、(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)2、(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)
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![1、(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)2、(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)](/uploads/image/z/2820371-59-1.jpg?t=1%E3%80%81%28x%5E2-4y%5E2%29%2F%28x%5E2%2B2xy%2By%5E2%29%C3%B7%28x%2B2y%29%2F%282x%5E2%2B2xy%292%E3%80%81%282x%29%2F%285x-3%29%C3%B73%2F%2825x%5E2-9%29%C3%97x%2F%285x%2B3%29)
1、(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)2、(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)
1、(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)
2、(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)
1、(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)2、(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)
1、(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)
=(x+2y)(x-2y)/[(x+y)^2]÷(x+2y)/[2x(x+y)]
=(x+2y)(x-2y)/[(x+y)^2]×[2x(x+y)]/(x+2y)
=[2x(x-2y)]/(x+y)
2、(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)
=(2x)/(5x-3)×[(5x-3)(5x+3)]/3×x/(5x+3)
=(2x^2)/3
x^2-4y^2/x^2+2xy+y^2除以x+2y/x^2+xy
=(x-2y)(x+2y)/(x+y)^2除以x+2y/x(x+y)
=x(x-2y)/(x+y)
(x^2-4y^2)/(x^2+2xy+y^2)÷(x+2y)/(2x^2+2xy)
=(x+2y)(x-2y)×2(x+y)
(x+y)^2×(x+2y)
=2(x-2y)
x+y
(2x)/(5x-3)÷3/(25x^2-9)×x/(5x+3)
= 2x ×(5x+3)(5x-3)× x
(5x-3) × 3 ×5x+3
= 2x^2
3