1.100分之9x²-4y4
2.81a5b5-ab
3.24xy²z(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)
1.100分之9x²-4y4
2.81a5b5-ab
3.24xy²z(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)
1:
(9x²/100)-4y4
=(3x/10)²-(2y²)²
=(0.3x+2y²)(0.3x-2y²)
2:
81a5b5-ab
=ab(81a4b4-1)
=ab(9a²b²+1)(9a²b²-1)
=ab(9a²b²+1)(3ab+1)(3ab-1)
3:
24xy²z(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)
=-24xy²z(z-x-y)-32xyz(z-x-y)²+8xyz³(z-x-y)
=8xyz(z-x-y)(-3y-4+z²)
1)
(9x^2-4y^2)/100
=[(3x)^2-(2y)^2]/100
=(3x+2y)*(3x-2y)/100
2)
81(a^5)(b^5)-ab
=ab*{[(9a^2)(b^2)]^2-1}
=ab*[9(a^2)(b^2)+1]*[9(a^2)(b^2)-1]
=ab*[9(a^2)(b^2)+1]*[(3ab)^2-1]
=ab*[9(a^2)(b^2)+1]*(3ab+1)(3ab-1)
3)
24x(y^2)*z(x+y-z)-32xyz(z-x-y)^2+8(xyz^3)(z-x-y)
=8xyz(x+y-z)[3y+4(x+y+z)-z^2]
=8xyz(x+y-z)(4x+7y+4z-z^2)
【24x(y^2)*z(x+y-z)-32xyz(z-x-y)^2+8(xyz^2)(z-x-y)==8xyz(x+y-z)(4x+7y+3z)】
1.100分之9x²-4y4
=0.09x²-0.04y4
=(0.3x+0.2y²)(0.3x-0.2y²)
2.81a5b5-ab