(ab+1)^2-(a+b)^2因式分解

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(ab+1)^2-(a+b)^2因式分解(ab+1)^2-(a+b)^2因式分解(ab+1)^2-(a+b)^2因式分解(ab+1)^2-(a+b)^2=(ab+1+a+b)(ab+1-a-b)=[a

(ab+1)^2-(a+b)^2因式分解
(ab+1)^2-(a+b)^2因式分解

(ab+1)^2-(a+b)^2因式分解
(ab+1)^2-(a+b)^2
=(ab+1+a+b)(ab+1-a-b)
=[a(b+1)+(b+1)][a(b-1)-(b-1)]
=(a+1)(b+1)(a-1)(b-1)

(ab+1)²-(a+b)²
=[(ab+1)+(a+b)][(ab+1)-(a+b)]
=[ab+a+b+1][ab-a+1-b]
=[a(b+1)+(b+1)][a(b-1)+(1-b)]
=(a+1)(b+1)(a-1)(b-1)

(ab+1)^2-(a+b)^2
(a^2b^2+1+2ab)-(a^2+2ab+b^2)
a^2b^2+1+2ab-a^2-2ab-b^2
a^2b^2-a^2-b^2+1
a^2(b^2-1)-(b^2-1)
(a^2-1)(b^2-1)
(a+1)(a-1)(b+1)(b-1)