(a-b)^2-1 81(a-b)^2-16(a+b)^2 因式分解-49+16a^2b^2
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![(a-b)^2-1 81(a-b)^2-16(a+b)^2 因式分解-49+16a^2b^2](/uploads/image/z/744719-23-9.jpg?t=%28a-b%29%5E2-1+81%28a-b%29%5E2-16%28a%2Bb%29%5E2+%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3-49%2B16a%5E2b%5E2)
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(a-b)^2-1 81(a-b)^2-16(a+b)^2 因式分解-49+16a^2b^2
(a-b)^2-1 81(a-b)^2-16(a+b)^2 因式分解
-49+16a^2b^2
(a-b)^2-1 81(a-b)^2-16(a+b)^2 因式分解-49+16a^2b^2
1、(a-b)²-1=(a-b+1)(a-b-1)
2、81(a-b)²-16(a+b)²
=[9(a-b)+4(a+b)][9(a-b)-4(a+b)]
=(9a-9b+4a+4b)(9a-9b-4a-4b)
=(13a-5b)(5a-13b)
3、-49+16a²b²
=(4ab)²-7²
=(4ab+7)(4ab-7)
(a-b)^2-1
=(a-b+1)(a-b-1)
81(a-b)^2-16(a+b)^2
=[9(a-b)+4(a+b)][9(a-b)-4(a+b)]
=(13a-5b)(5a-13b)
-49+16a^2b^2
=16a^2b^2-49
=(4ab+7)(4ab-7)