把下列各多项式分解因式(a+b)²-2(a+b)(a-b)+(a-b)²
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把下列各多项式分解因式(a+b)²-2(a+b)(a-b)+(a-b)²
把下列各多项式分解因式(a+b)²-2(a+b)(a-b)+(a-b)²
把下列各多项式分解因式(a+b)²-2(a+b)(a-b)+(a-b)²
简单的换元
另a+b=x a-b=y
得x^2-2xy+y^2=(x-y)^2
带入得 (2b)^2=4b^2
(a+b)²-2(a+b)(a-b)+(a-b)²
=[(a+b)-(a-b)]²
=(2b)²
=4b²