(3m+2n)²-(m-n)²

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(3m+2n)²-(m-n)²
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(3m+2n)²-(m-n)²
(3m+2n)²-(m-n)²

(3m+2n)²-(m-n)²
(3m+2n)²-(m-n)²
=[(3m+2n)+(m-n)][(3m+2n)-(m-n)]
=(4m+n)(2m+3n)

(3m+2n)²-(m-n)²
原式=[(3m+2n)+(m-n)][(3m+2n)-(m-n)]
=(4m+n)(2m+3n)

(3m+2n)^2-(m-n)^2
=[(3m+2n)-(m-n)][(3m+2n)+(m-n)]
=(3m+2n-m+n)(3m+2n+m-n)
=(2m+3n)(4m+n)

用平方差公式的逆运算:a²-b²=(a+b)(a-b)
=(3m+2n+m-n)(3m+2n-m+n)
=(4m+n)(2m+3n).