Объяснение:

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1.

1) m³+27n³ = (m+3n)(m²-3mn+9n²)

2) x³-64xy² = x(x²-64y²) = x(x-8y)(x+8y)

3) -3a²+18a-27 = -3(a²-6a+9) = -3(a-3)²

4) 2ab+10b-2a-10 = 2(a+5)(b-1)

5) a^4-16 = (a²-4)(a²+4) = (a-2)(a+2)(a²+4)

2.

(2a-1)(4a²+2a+1) = (2a)³-1³ = 8a³ - 1

8a³ - 1 = 8 ×()³-1 = 8×(-)-1 = -1-1 = -2

3.

1) x²-y²+x-y = (x-y)(x+y+1)

2) 4x²-4xy+y²-9 = (2x-y)²-9 = (2x-y-3)(2x-y+3)

3)

4) 4-m²+2mn-n² = 4-(m-n)² = (2-m+n)(2+m-n)