1) 3х²-12 = 3*(х²-4) = 3(х-2)(х+2)
2) 2а²+4ab+2b² = 2*(a²+2ab+b²) = 2(a+b)(a+b)
3) 8x²-2y² = 2*(4x²-y²) = 2(2x-y)(2x+y)
4) 27+a³ = 3³+a³ = (3+a)(9-3a+a²)
5) 3a+6+ab+2b = (3a+ab)+(6+2b) = a(3+b)+2(3+b) = (3+b)(a+2)
6) a³-a = a(a²-1) = a(a-1)(a+1)
7) 9x³-25x = x(9x²-25) = x(3x-5)(3x+5)
8) 4n⁴-4n⁶ = 4n⁴(1-n²) = 4n⁴(1-n)(1+n)
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Answers & Comments
1) 3х²-12 = 3*(х²-4) = 3(х-2)(х+2)
2) 2а²+4ab+2b² = 2*(a²+2ab+b²) = 2(a+b)(a+b)
3) 8x²-2y² = 2*(4x²-y²) = 2(2x-y)(2x+y)
4) 27+a³ = 3³+a³ = (3+a)(9-3a+a²)
5) 3a+6+ab+2b = (3a+ab)+(6+2b) = a(3+b)+2(3+b) = (3+b)(a+2)
6) a³-a = a(a²-1) = a(a-1)(a+1)
7) 9x³-25x = x(9x²-25) = x(3x-5)(3x+5)
8) 4n⁴-4n⁶ = 4n⁴(1-n²) = 4n⁴(1-n)(1+n)