Question

помогите решить разложите на множители многочлен​

Answer 1

Объяснение:

1) а³-27b³ = (a-3b)(a²+3ab+9b²)

2) m³n³ + k³ = (mn+k)(m²n²-kmn+k²)

3) x^6-y^6 = (x³-y³)(x³+y³) = (x-y)(x²+xy+y²)(x+y)(x²-xy+y²)

4) k^6 + (pq)^6 = (k²+pq²)(k⁴-k²×pq²+pq⁴) = (k²+p²q²)(k⁴-k²p²q²+p⁴q⁴)

5) (a-b)³+b³ = (a-b+b)((a-b²)-(a-b)b+b²) = a(a²-ab+b²-ab+2b²) = a(a²-3ab+3b²)

6) (x-2)³-27 = (x-2-3)((x-2)²+(x-2)×3+9) = (x-5)(x²-4x+4+3x+3) = (x-5)(x²-x+7)

7) 8a³+(a-b)³ = (2a+a-b)(4a²-2a(a-b)+(a-b)²) = (3a-b)(2a²+2ab+a²-2ab+b²) = (3a-b)(3a²-b²)

8) 27x³-y³(x-y)³ = (3x-xy+y²)(9x²+3xy²+y²+(x-y)²)