用公式发分解因式(2m-n)的平方-169(m+n)的平方 和 -4(m+n)的平方+25(m-2n)的平方
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(2m-n)²-169(m+n)²
=[2m-n+13(m+n)] [2m-n-13(m+n)]
=(2m-n+13m+13n) (2m-n-13m-13n)
= - (15m+12n) (11m-14n)
= -3(5m+4n) (11m-14n)
-4(m+n)²+25(m-2n)²
=25(m-2n)² - 4(m+n)²
=(5m-10n+2m+2n)(5m-10n-2m-2n)
=(7m-8n)(3m-12n)
=3(7m-8n)(m-4n)
=[2m-n+13(m+n)] [2m-n-13(m+n)]
=(2m-n+13m+13n) (2m-n-13m-13n)
= - (15m+12n) (11m-14n)
= -3(5m+4n) (11m-14n)
-4(m+n)²+25(m-2n)²
=25(m-2n)² - 4(m+n)²
=(5m-10n+2m+2n)(5m-10n-2m-2n)
=(7m-8n)(3m-12n)
=3(7m-8n)(m-4n)
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