因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)

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因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)=

因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)
因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)

因式分解:25(2a-b)(2a-b)-9(a-2b)(a-2b)
=(13a-11b)(7a+b)

=5*(2a-b)*5*(2a-b)-3*(a-2b)*3(a-2b)
=(10a-5b)^2-(3a-6b)^2
=(10a-5b+3a-6b)(10a-5b-3a+6b)
=(13a-11b)(7a+b)

=[5(2a-b)+3(a-2b)][5(2a-b)-3(a-2b)]
=(10a-5b+3a-6b)(10a-5b-3a+6b)
=(13a-11b)(7a+a)

25(2a-b)^2-9(a-2b)^2
=[5(2a-b)-3(a-2b)][5(2a-b)+3(a-2b)]
=[(10a-5b)-(3a-6b)][(10a-5b)+(3a-6b)]
=(10a-5b-3a+6b)(10a-5b+3a-6b)
=(7a+b)(13a-11b)