(a²+b²)xy+ab(x²+y²)=(ay+bx)(ax+by).怎样化简,请说明理由.
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![(a²+b²)xy+ab(x²+y²)=(ay+bx)(ax+by).怎样化简,请说明理由.](/uploads/image/z/814799-47-9.jpg?t=%EF%BC%88a%26%23178%3B%2Bb%26%23178%3B%EF%BC%89xy%2Bab%EF%BC%88x%26%23178%3B%2By%26%23178%3B%EF%BC%89%3D%EF%BC%88ay%2Bbx%EF%BC%89%EF%BC%88ax%2Bby%EF%BC%89.%E6%80%8E%E6%A0%B7%E5%8C%96%E7%AE%80%2C%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
(a²+b²)xy+ab(x²+y²)=(ay+bx)(ax+by).怎样化简,请说明理由.
(a²+b²)xy+ab(x²+y²)=(ay+bx)(ax+by).怎样化简,请说明理由.
(a²+b²)xy+ab(x²+y²)=(ay+bx)(ax+by).怎样化简,请说明理由.
(a²+b²)xy+ab(x²+y²)
=a²xy+b²xy+abx²+aby²
=(a²xy+abx²)+(b²xy+aby²)
=ax(ay+bx)+by(bx+ay)
=(ay+bx)(ax+by)
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