3x+4y=0 x不等于0 求分式2xy+y²/x²-xy还有这个分解因式(4a²+1)²-16a²
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![3x+4y=0 x不等于0 求分式2xy+y²/x²-xy还有这个分解因式(4a²+1)²-16a²](/uploads/image/z/90733-13-3.jpg?t=3x%2B4y%3D0+x%E4%B8%8D%E7%AD%89%E4%BA%8E0+%E6%B1%82%E5%88%86%E5%BC%8F2xy%2By%26%23178%3B%2Fx%26%23178%3B-xy%E8%BF%98%E6%9C%89%E8%BF%99%E4%B8%AA%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%284a%26%23178%3B%2B1%29%26%23178%3B-16a%26%23178%3B)
3x+4y=0 x不等于0 求分式2xy+y²/x²-xy还有这个分解因式(4a²+1)²-16a²
3x+4y=0 x不等于0 求分式2xy+y²/x²-xy
还有这个分解因式(4a²+1)²-16a²
3x+4y=0 x不等于0 求分式2xy+y²/x²-xy还有这个分解因式(4a²+1)²-16a²
3x+4y=0,即x=-4y/3
2xy+y²/x²-xy
=2y(-4y/3)+y²/(-4y/3)²-(-4y/3)y
=(-5/3)y²/(28/9)y²
=-15/28
(4a²+1)²-16a²
=(4a²+1+4a)(4a²+1-4a)
=(2a+1)²(2a-1)²
(4a²+1)²-16a²=(4a²+4a+1)(4a²-4a+1)
=(2a+1)²(2a-1)²
=(4a²-1)²
∵3X+4Y=0(X不等于0)∵y=-3x/4
∴原式=(-3x²/2+9x²/16)/(x²+3x²/4)=-15/16*4/7=-15/28(4a²+1)²-16a²=(4a²+4a+1)(4a²-4a+1)
=(2a+1)²(2a-1)² =(4a²-1)²