分解因式,169（a+b）²-121（a-b）²

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分解因式,169（a+b）²-121（a-b）²
分解因式,169（a+b）²-121（a-b）²

分解因式,169（a+b）²-121（a-b）²
原式=[13(a+b)]²-[11(a-b)]²
=[13(a+b)+11(a-b)][13(a+b)-11(a-b)]
=(24a+2b)(2a+24b)
=4(12a+b)(a+12b)

169（a+b）²-121（a-b）²
=[13(a+b)+11(a-b)][13(a+b)-11(a-b)]
=(24a+2b)(2a+24b)
=4(12a+b)(a+12b)

=[13(a+b)]²-[11(a-b)]²
=[13(a+b)+11(a-b)][13(a+b)-11(a-b)]
=(24a+2b)(2a+24b)
=4(12a+b)(a+12b)

=(13(a+b)+11(a-b))(13(a+b)-11(a-b))
=(24a+2b)(2a+24b)
=4(12a+b)(12b+a)