Question

(a+b)²-4(a-b)²=

Answer 1

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

不懂请追问
若无请采纳

Answer 2

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

追问

还有几题。
0.222²-1.222²；67²+66×67+33²

Answer 3

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

Answer 4

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

Answer 5

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