分解因式121﹙a-b﹚²-169﹙a+b﹚²
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![分解因式121﹙a-b﹚²-169﹙a+b﹚²](/uploads/image/z/4500010-10-0.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F121%EF%B9%99a%EF%BC%8Db%EF%B9%9A%26%23178%3B%EF%BC%8D169%EF%B9%99a%EF%BC%8Bb%EF%B9%9A%26%23178%3B)
分解因式121﹙a-b﹚²-169﹙a+b﹚²
分解因式121﹙a-b﹚²-169﹙a+b﹚²
分解因式121﹙a-b﹚²-169﹙a+b﹚²
原式=[11(a-b)]²-[13(a+b)]²
=[11(a-b)+13(a+b)][11(a-b)-13(a+b)]
=(24a+2b)(-2a-24b)
=-4(12a+b)(a+12b)
121﹙a-b﹚²-169﹙a+b﹚²
=﹙11a-11b﹚²-﹙13a+13b﹚²
=(11a-11b+13a+13b)(11a-11b-13a-13b)
=(24a+2b)(-2a-24b)
=-4(12a+b)(a+12b)
121﹙a-b﹚²-169﹙a+b﹚²
=[11(a-b)]²-[13(a+b)]²
=[11(a-b)+13(a+b)]·[11(a-b)-13(a+b)]
=(24a+2b)(-2a-24b)
=-4(12a+b)(a+12b)