9x^2-16(x+b)^2
来源:百度知道 编辑:UC知道 时间:2024/05/21 08:06:47
1.9x^2-16(x+b)^2
2.(x+y)^3(x-y)-(x+y)(x-y)^3
3.25(x-2y)^3+4(2y-x)
4.81a^5b^5-ab
2.(x+y)^3(x-y)-(x+y)(x-y)^3
3.25(x-2y)^3+4(2y-x)
4.81a^5b^5-ab
1.9x^2-16(x+b)^2
=(3x)^2-(4x+4b)^2
=[3x+(4x+4b)][3x-(4x+4b)]
=-(7x+4b)(x+4b)
2.(x+y)^3(x-y)-(x+y)(x-y)^3
=(x+y)(x-y)[(x+y)^2-(x-y)^2]
=(x+y)(x-y)[(x+y)+(x-y)][(x+y)-(x-y)]
=(x+y)(x-y)*2x*2y
=4xy(x+y)(x-y)
3.25(x-2y)^3+4(2y-x)
=25(x-2y)^3-4(x-2y)
=(x-2y)[25(x-2y)^2-4]
=(x-2y)[(5x-10y)^2-2^2]
=(x-2y)[(5x-10y)+2][(5x-10y)-2]
=(x-2y)(5x-10y+2)(5x-10y-2)
4.81a^5b^5-ab
=ab(81a^4b^4-1)
=ab[(9a^2b^2)^2-1]
=ab(9a^2b^2+1)(9a^2b^2-1)
=ab(9a^2b^2+1)[(3ab)^2-1]
=ab(3ab+1)(3ab-1)(9a^2b^2+1)
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