Ответ:
Пошаговое объяснение:
1) 1/27+b^3 = (1/3)^3+b^3 = (1/3+b)(1/9-1/3b+b^2);
2) 1/8x^3 - 8 = (1/2x)^3-2^3 = (1/2x-2)(1/4x^2+1/2x*2+4)=(1/2x-2)(1/4x+x+4);
3) 1+125p^3 = 1^3+(5p)^3 = (1+5p)(1-5p+25p^2);
4) 0.064m^3-1/1000n^3 = (0.4m)^3 - (n/10)^3 =
=(0.4m - n/10)(0.16m^2+0.04mn+1/100n^2);
5) (27/8a^3+8/27b^3)=(3/2a)^3+(2/3b)^3=(3/2a+2/3b)(9/4a^2-ab+4/9b^2);
6) 216p^3-1/216q^3 = (6p-1/6q)(36p^2+pq+1/36q^2).
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Answers & Comments
Ответ:
Пошаговое объяснение:
1) 1/27+b^3 = (1/3)^3+b^3 = (1/3+b)(1/9-1/3b+b^2);
2) 1/8x^3 - 8 = (1/2x)^3-2^3 = (1/2x-2)(1/4x^2+1/2x*2+4)=(1/2x-2)(1/4x+x+4);
3) 1+125p^3 = 1^3+(5p)^3 = (1+5p)(1-5p+25p^2);
4) 0.064m^3-1/1000n^3 = (0.4m)^3 - (n/10)^3 =
=(0.4m - n/10)(0.16m^2+0.04mn+1/100n^2);
5) (27/8a^3+8/27b^3)=(3/2a)^3+(2/3b)^3=(3/2a+2/3b)(9/4a^2-ab+4/9b^2);
6) 216p^3-1/216q^3 = (6p-1/6q)(36p^2+pq+1/36q^2).