:(1)a的四次方-4a²-4a+8;(2)x²+4y²-4xy-a²
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![:(1)a的四次方-4a²-4a+8;(2)x²+4y²-4xy-a²](/uploads/image/z/2586352-40-2.jpg?t=%3A%281%29a%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9-4a%26%23178%3B-4a%2B8%3B%282%29x%26%23178%3B%2B4y%26%23178%3B-4xy-a%26%23178%3B)
:(1)a的四次方-4a²-4a+8;(2)x²+4y²-4xy-a²
:(1)a的四次方-4a²-4a+8;(2)x²+4y²-4xy-a²
:(1)a的四次方-4a²-4a+8;(2)x²+4y²-4xy-a²
是因式分解吗?
如果是,则
(1)a的四次方-4a²-4a+8;
=(a的四次方-4a²)-(4a-8)
=a²(a²-4)-4(a-2)
=a²(a+2)(a-2)-4(a-2)
=(a-2)[a²(a+2)-4]
=(a-2)(a³+2a²-4)
(2)x²+4y²-4xy-a²
=(x²+4y²-4xy)-a²
=(x-2y)²-a²
=(x-2y+a)(x-2y-a)
1)a的四次方-4a²-4a+8
=a²(a²-4)-4(a-2)
=a²(a+2)(a-2)-4(a-2)
=(a-2)(a³+2a²-4)
(2)x²+4y²-4xy-a²
=(x-2y)²-a²
=(x-2y+a)(x-2y-a)