Question

(a+b)²-4(a-b)²

请写出详细过程

Answer 1

(a+b)²-4(a-b)²
=[(a+b)+2(a-b)][(a+b)-2(a-b)]
=(3a-b)(-a+3b)

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Answer 2

此题就是利用平方差公式化简即可
(a+b)²-4(a-b)²
=(a+b)²-(2a-2b)²
=(a+b+2a-2b)[a+b-(2a-2b)]
=(3a-b)(3b-a)

Answer 3

答：利用平方差公式
(a+b)²-4(a-b)²
=(a+b)²-(2a-2b)²
=(a+b+2a-2b)[a+b-(2a-2b)]
=(3a-b)(3b-a)

Answer 4

(a+b)²-4(a-b)²
=[(a+b)-2(a-b)][(a+b)+2(a-b)]
=(a+b-2a+2b)(a+b+2a-2b)
=(-a+3b)(3a-b)
=-(a-3b)(3a-b)

Answer 5

(a+b)²-4(a-b)²
= (a+b)²-(2a-2b)²
= (a+b + 2a-2b) (a+b -2a +2b)
= (3a -b ) ( 3b -a )

Answer 6

(a+b)²-4(a-b)²
=(a+b)²-[2(a-b)]²
=[(a+b)-2(a-b)][(a+b)+2(a-b)]
=(3b-a)(3a-b)