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](/uploads/image/z/4500008-8-8.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%2C169%EF%BC%88a%2Bb%EF%BC%89%26%23178%3B-121%EF%BC%88a-b%EF%BC%89%26%23178%3B)
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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)