Question

Составьте сумму и разность кубов двух одночленов и разложите их на множители: 6 и 2a^2
36^2 и x^2
t^2 и z^2
1/3x^2 и m^3
x^2 и 5
2/3k^3 и 1/2d^5

Answer 1

Ответ:

6 и 2a^2

6^3 + 2a^2^3 = 216 + 108a^4 = (6 + 6a^2)(36 - 36a^2)

36^2 и x^2

36^2 - x^2 = 1296 - x^2 = (6^2 + x)(6^2 - x)

t^2 и z^2

t^2 + z^2 = t^2 + z^2 = (t + z)(t - z)

1/3x^2 и m^3

(1/3x^2)^3 + m^3 = (x^6/27) + m^3 = (x^2/3 + m)(x^4/9 - mx^2/3 + m^2)

x^2 и 5

x^3 - 5^3 = x^3 - 125 = (x - 5)(x^2 + 5x + 25)

2/3k^3 и 1/2d^5

(2/3k^3)^3 - (1/2d^5)^3 = (8k^9/27) - (d^15/32) = (2k^3/3 - d^3/4)(4k^6/9 - 2k^3d^3/3 + d^6/16)

Ответ:

6^3 + 2a^2^3 = (6 + 6a^2)(36 - 36a^2)

36^2 - x^2 = (6^2 + x)(6^2 - x)

t^2 + z^2 = (t + z)(t - z)

(1/3x^2)^3 + m^3 = (x^2/3 + m)(x^4/9 - mx^2/3 + m^2)

x^3 - 5^3 = (x - 5)(x^2 + 5x + 25)

(2/3k^3)^3 - (1/2d^5)^3 = (2k^3/3 - d^3/4)(4k^6/9 - 2k^3d^3/3 + d^6/16)

Объяснение: