分解因式a²-16(a-b)²
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分解因式a²-16(a-b)²
![分解因式a²-16(a-b)²](/uploads/image/z/19596800-56-0.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8Fa%26%23178%3B-16%28a-b%29%26%23178%3B)
a" - 16( a - b )"
= a" - [ 4(a - b ) ]"
= a" - ( 4a - 4b )"
= ( a + 4a - 4b )( a - 4a + 4b )
= ( 5a - 4b )( -3a + 4b )
= -( 3a - 4b )( 5a - 4b )
= a" - [ 4(a - b ) ]"
= a" - ( 4a - 4b )"
= ( a + 4a - 4b )( a - 4a + 4b )
= ( 5a - 4b )( -3a + 4b )
= -( 3a - 4b )( 5a - 4b )