因式分解(13)16(x+y)²-25(x-y)² (14)a²(a-b)+b²
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因式分解(13)16(x+y)²-25(x-y)² (14)a²(a-b)+b²(b-a)
![因式分解(13)16(x+y)²-25(x-y)² (14)a²(a-b)+b²](/uploads/image/z/2210523-51-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2813%2916%28x%2By%29%26%23178%3B-25%28x-y%29%26%23178%3B+%2814%29a%26%23178%3B%28a-b%29%2Bb%26%23178%3B)
(13)16(x+y)²-25(x-y)² \
=(4x+4y+5x-5y)(4x+4y-5x+5y)
=(9x-y)(-x+9y)
(14)a²(a-b)+b²(b-a)
=(a-b)(b²-a²)
=(a-b)(a+b)(b-a)
=-(a-b)²(a+b)
=(4x+4y+5x-5y)(4x+4y-5x+5y)
=(9x-y)(-x+9y)
(14)a²(a-b)+b²(b-a)
=(a-b)(b²-a²)
=(a-b)(a+b)(b-a)
=-(a-b)²(a+b)
因式分解(13)16(x+y)²-25(x-y)² (14)a²(a-b)+b²
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