因式分解(3m+2n)的二次方-(3m-2n)的二次方-60m

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因式分解(3m+2n)的二次方-(3m-2n)的二次方-60m
因式分解(3m+2n)的二次方-(3m-2n)的二次方-60m

因式分解(3m+2n)的二次方-(3m-2n)的二次方-60m
(3m+2n)^2-(3m-2n)^2-60m
=(3m+2n+3m-2n)(3m+2n-3m+2n)-60m
=6m*4n-60m
=24mn-60m
=12m(2n-5)

把3m+2n的方看成A,3m-2n的方看成B,a^2-b^2=(a+b)(a-b)
再计算

3m+2n)^2-(3m-2n)^2-60m
=(3m+2n+3m-2n)(3m+2n-3m+2n)-60m
=6m*4n-60m
=24mn-60m
=12m(2n-5)

3m+2n)^2-(3m-2n)^2-60m
=(3m+2n+3m-2n)(3m+2n-3m+2n)-60m
=6m*4n-60m
=24mn-60m
=12m(2n-5)