1.a^2b^2-4ab+42.16-8xy+x^2y^23.(x+y)^2+6(x+y)+94.a^2-2a(b+c)

9个回答

  • ①原式=(ab)²-4ab+2²=(ab-2)²

    ②原式=(xy)²-8xy+4²=(xy-4)²

    ③原式=(x+y)²+6(x+y)+3²=(x+y+3)²

    ④原式=a²-2ab-2ac+b²+c²+2bc

    =(a-b)²+2c(b-a)

    =(a-b)(a-b-2c)

    ⑤原式=3(x²-2x+1)=3(x-1)²

    ⑥原式=x³(x²-y²)=x³(x+y)(x-y)

    ⑦原式=x(16x^4+8x²y²+y^4)

    =x[(4x²)²+8x²y²+(y²)²]

    =x(4x²+y²)²

    ⑧原式=(4x²)²-(y²)²

    =(4x²+y²)(4x²-y²)

    =(4x²+y²)(2x+y)(2x-y)

    以上为解答,完全正确