First, let's simplify the given expression:
(x-2y)²-49/x²-4y² + 7y+14y= (x-2y)² - 49/(x²-4y²) + 21y= (x-2y)² - 49/[(x+2y)(x-2y)] + 21y= (x-2y)² - 49/(x+2y)(x-2y) + 21y= (x-2y)² - 49/(x+2y)(x-2y) + 21y= (x-2y)² - 7²/(x+2y)(x-2y) + 21y= (x-2y +7)(x-2y-7)/(x+2y)(x-2y) + 21y= (x-2y +7)(x-2y-7)/(x+2y)(x-2y) + 21y
Therefore, the simplified expression is (x-2y +7)(x-2y-7)/(x+2y)(x-2y) + 21y
First, let's simplify the given expression:
(x-2y)²-49/x²-4y² + 7y+14y
= (x-2y)² - 49/(x²-4y²) + 21y
= (x-2y)² - 49/[(x+2y)(x-2y)] + 21y
= (x-2y)² - 49/(x+2y)(x-2y) + 21y
= (x-2y)² - 49/(x+2y)(x-2y) + 21y
= (x-2y)² - 7²/(x+2y)(x-2y) + 21y
= (x-2y +7)(x-2y-7)/(x+2y)(x-2y) + 21y
= (x-2y +7)(x-2y-7)/(x+2y)(x-2y) + 21y
Therefore, the simplified expression is (x-2y +7)(x-2y-7)/(x+2y)(x-2y) + 21y