分解因式(1)x³y²-4x²y+4x;(2)25m²-20m(m-3n)+4(m-3n)²;下转(3)(3)4y²-2y+¼;(4)-x²-4y²+4xy;(5)(x+y)²-6(x+y)+9;(6)4-12(x-y)+9(x-y)²;(7)-9a²+12ab-4b
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![分解因式(1)x³y²-4x²y+4x;(2)25m²-20m(m-3n)+4(m-3n)²;下转(3)(3)4y²-2y+¼;(4)-x²-4y²+4xy;(5)(x+y)²-6(x+y)+9;(6)4-12(x-y)+9(x-y)²;(7)-9a²+12ab-4b](/uploads/image/z/6135328-64-8.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%881%EF%BC%89x%26%23179%3By%26%23178%3B-4x%26%23178%3By%2B4x%EF%BC%9B%EF%BC%882%EF%BC%8925m%26%23178%3B-20m%28m-3n%29%2B4%28m-3n%29%26%23178%3B%EF%BC%9B%E4%B8%8B%E8%BD%AC%283%29%EF%BC%883%EF%BC%894y%26%23178%3B-2y%2B%26%23188%3B%EF%BC%9B%EF%BC%884%EF%BC%89-x%26%23178%3B-4y%26%23178%3B%2B4xy%EF%BC%9B%EF%BC%885%EF%BC%89%28x%2By%29%26%23178%3B-6%28x%2By%29%2B9%EF%BC%9B%EF%BC%886%EF%BC%894-12%28x-y%29%2B9%28x-y%29%26%23178%3B%EF%BC%9B%EF%BC%887%EF%BC%89-9a%26%23178%3B%2B12ab-4b%26%2317)
分解因式(1)x³y²-4x²y+4x;(2)25m²-20m(m-3n)+4(m-3n)²;下转(3)(3)4y²-2y+¼;(4)-x²-4y²+4xy;(5)(x+y)²-6(x+y)+9;(6)4-12(x-y)+9(x-y)²;(7)-9a²+12ab-4b
分解因式(1)x³y²-4x²y+4x;(2)25m²-20m(m-3n)+4(m-3n)²;下转(3)
(3)4y²-2y+¼;(4)-x²-4y²+4xy;(5)(x+y)²-6(x+y)+9;(6)4-12(x-y)+9(x-y)²;(7)-9a²+12ab-4b²;(8)a²x²y+4x²y²;(9)-x³+x²-0.25x;(10)a²+b²+2ab+2a+2b+1;
分解因式(1)x³y²-4x²y+4x;(2)25m²-20m(m-3n)+4(m-3n)²;下转(3)(3)4y²-2y+¼;(4)-x²-4y²+4xy;(5)(x+y)²-6(x+y)+9;(6)4-12(x-y)+9(x-y)²;(7)-9a²+12ab-4b
(1)x³y²-4x²y+4x;
=x(x²y²-4xy+4)
=x(xy-2)²
(2)25m²-20m(m-3n)+4(m-3n)²;
=(5m-2(m-3n)²
=(5m-2m+6n)²
=(3m+6n)²
=9(m+2n)²
(3)4y²-2y+¼;
=(2y-1/2)²
(4)-x²-4y²+4xy;
=-(x²-4xy+4y²)
=-(x-2y)²
(5)(x+y)²-6(x+y)+9;
=(x+y-3)²
(6)4-12(x-y)+9(x-y)²;
=(2-3(x-y))²
=(2-3x+3y)²
(7)-9a²+12ab-4b²;
=-(9a²-12ab+4b²)
=-(3a-2b)²
(8)a²x²y+4x²y²;
=x²y(a²+4y)
(9)-x³+x²-0.25x;
=-x(x²-x+0.25)
=-x(x-0.5)²
(10)a²+b²+2ab+2a+2b+1;
=(a+b)²+2(a+b)+1
=(a+b+1)²