Ответ(ы) на вопрос:
Гость
1)h^+2hi+i^
2)(u^-h^)
3)(i-c)(i^+ic+c^)
4)(i+m)(i^-im+m^)
5)(3q+h)(9q^-3qh+h^)
6)(16m^-25c^)
8)25t^-30dt+9d^)
Гость
1.
[latex](h+i)^2 = h^2+2hi+i^2[/latex]
2.
[latex](u+r)(u-r) = u^2-ur+ur-r^2=u^2-r^2[/latex]
3.
[latex]j^3-c^3 = (j-c)(j^2+jc+c^2)[/latex]
4.
[latex]t^3+m^3 = (t+m)(t^2-tm+m^2)[/latex]
5.
[latex](3q+h)^3 = 27q^3+27q^2h+3qh^2+h^3[/latex]
6.
[latex](4m+5c)(4m-5c) = 16m^2-20mc+20mc-25c^2=16m^2-25c^2[/latex]
7.
[latex](6v+5f)(6v-5f) = 36v^2-30vf+30vf-25f^2=36v^2-25f^2[/latex]
8.
[latex](5t-3d)^2 = 25t^2-2*5*3td+9d^2=25t^2-30td+9d^2[/latex]
9.
[latex](x+3j)^3 = x^3+9x^2j+27xj^2+27j^3[/latex]
10.
[latex](2y-2g)^3 = 8y^3-12y^2g+12yg^2-8g^3[/latex]
11.
[latex](1-3b)^3 = 1-9b+27b^2+27b^3[/latex]
12.
[latex]64-y^3= 4^3-y^3=(4-y)(4^2+4y+y^2) = (4-y)(16+4y+y^2)[/latex]
13.
[latex]8+27x^3 = 2^3+3^3x^3= (2+3x)(2^2-6x+3^2x^2) = (2+3x)(4-6x+9x^2)[/latex]
14.
[latex]1-27j^3 = 1^3-3^3j^3 = (1-j)(1^2+3j+3^2j^2)= (1-j)(1+3j+9j^2)[/latex]
15.
[latex](2w-4)^3 = 8w^3-48w^2+96w-64[/latex]
16.
[latex](22+5w)^2 = 484+2*22*5w+25w^2=484+220w+25w^2[/latex]
17.
[latex](s+2w)^3 = s^3+6s^2w+12sw^2+8w^3[/latex]
18.
[latex]64r^3+27x^3 = 4^3r^3+3^3x^3=(4r+3x)(4^2r^2-12rx+3^2x^2)=(4r+3x)(16r^2-12rx+9x^2)[/latex]
19.
[latex]64c^3+1 = 4^3c^3+1^3=(4c+1)(4^2c^2-4c+1^2)=(4c+1)(16c^2-4c+1)[/latex]
20.
[latex]125g^3+216= 5^3g^3+6^3=(5g+6)(5^2g^2-30g+6^2)=(5g+6)(25g^2-30g+36)[/latex]
21.
[latex](9+5y)^3 = 729 + 3*81*5y+25y^2*3*9+ 125y^3=729+1215y+675y^2+125y^3[/latex]
22.
[latex](19+17x)^2=361+2*19*17x+289x^2=361+646x+289x^2[/latex]
23.
[latex](5x+9)^3=125x^3+3*25x^2*9+3*5x*81+9^3=125x^3+675x^2+1215x+729[/latex]
24.
[latex](23r-23)(23+23r) = (23r-23)(23r+23) = 23r^2-23^2=23r^2-529[/latex]
25.
[latex]512+216i^3=8^3+6^3j^3=(8+6i)(8^2-8*6i+6^2i^2)=(8+6i)(64-48i+36i^2)[/latex]
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