...⑵9ax^-24axy+16ay^ ⑶49(x-2)^-25(x-3^) ⑷3a(x^+4)^-48ax^_百 ...

发布网友发布时间：2024-09-29 00:34

共2个回答

热心网友时间：2024-10-09 08:32

⑴7x^2y^2-63x^2z^2
=7x^2(y^2-9z^2)
=7x^2(y+3z)(y-3z)

⑵9ax^2-24axy+16ay^2
=a(9x^2-24xy+16y^2)
=a[(3x)^2-2*3x*4y+(4y)^2]
=a(3x-4y)^2

⑶49(x-2)^2-25(x-3)^2
=[7(x-2)+5(x-3)][7(x-2)-5(x-3)]
=(7x-14+5x-15)(7x-14-5x+15)
=(12x-29)(2x+1)

⑷3a(x^2+4)^2-48ax^2
=3a[(x^2+4)^2-16x^2]
=3a(x^2+4+4x)(x^2+4-4x)
=3a(x^2+2*2x+2^2)(x^2-2*2x+2^2)
=3a(x+2)^2(x-2)^2

热心网友时间：2024-10-09 08:27

7x^2y^2-63x^2z^2
=7x^2(y^2-9z^2)
=7x^2(y+3z)(y-3z)

9ax^2-24axy+16ay^2
=a(9x^2-24xy+16y^2)
=a[(3x)^2-2*(3x)(4y)+(4y)^2]
=a(3x-4y)^2

49(x-2)^2-25(x-3)^2
=[7(x-2)+5(x-3)][7(x-2)-5(x-3)]
=(12x-29)(2x+1)

3a(x^2+4)^2-48ax^2
=3a[(x^2+4)^2-16x^2]
=3a(x^2+4+4x)(x^2+4-4x)
=3a(x+2)^2(x-2)^2

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