分解因式:9(a+3b)²-﹙5a-b﹚²
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分解因式:9(a+3b)²-﹙5a-b﹚²
分解因式:9(a+3b)²-﹙5a-b﹚²
分解因式:9(a+3b)²-﹙5a-b﹚²
9(a+3b)²-﹙5a-b﹚²
=(3a+9b)²-(5a-b)²
=(3a+9b+5a-b)(3a+9b-5a+b)
=(8a+8b)(-2a+10b)
=-16(a+b)(a-5b)
9(a+3b)²-﹙5a-b﹚²={3(a+3b)}²-﹙5a-b﹚²=(8a+8b)*(-2a+10b)=16(a+B)(5b-a)
9(a+3b)²-﹙5a-b﹚²
=[3(a+3b)]²-﹙5a-b﹚²
=[3(a+3b)+(5a-b)]×[3(a+3b)-(5a-b)]
=(3a+9b+5a-b)(3a+9b-5a+b)
=(8a+8b)×(10b-2a)
=8×(a+b)×2×(5b-a)
=16×(a+b)×(5b-a)