9(a-b)²+12(a²-b²)+4(a+b)²

2个回答

  • 9(a-b)²+12(a²-b²)+4(a+b)²

    =(3(a-b))+2*3*2(a+b)(a-b)+(2(a+b))²

    =(3(a-b)+2(a+b))²

    =(5a-b)²

    a³-10a²+25a

    =a(a²-2*5*a+5²)

    =a(a-5)²

    x²+2x+1-y²

    =(x+1)²-y²

    =(x+1+y)(x+1-y)

    25(m+n-3)²-9(3m-2n)²

    =(5(m+n-3))²-(3(3m-2n))²

    =(5(m+n-3)+3(3m-2n))(5(m+n-3)-3(3m-2n))

    =(14m-n-15)(-4m+11n-15)