1) ab-3b-2a+6 = (ab-3b)-(2a-6) = b(a-3)-2(a-3) = (a-3)(b-2) = -(b-2) = 2-b
15-5a 5(3-a) -5(a-3) -5(a-3) 5 5
2) 7p-35 = 7(p-5) = -7/3 = -2 ¹/₃
15-3p -3(p-5)
3) 18a-3a² = 3a(6-a) = -3/8
8a²-48a -8a(6-a)
4) 4-x² = (2-x)(2+x) = 2+x
10-5x 5(2-x) 5
5) a²+3a+9 = a²+3a+9 = a²+3a+9 = 1 = 1
27-a³ -(a³-27) -(a-3)(a²+3a+9) -(a-3) 3-a
6) x⁶+x⁴ = x⁴(x²+1) = x²
x⁴+x² x²(x²+1)
7) x⁶ - x⁸ = x⁶(1-x²) = -x⁴
x⁴ - x² -x²(1-x²)
8) b⁷-b¹⁰ = b⁷(1-b³) = -b⁴(1-b³) = -b⁴(1-b³) = -b⁴
b⁹-b³ -b³(1-b⁶) 1²-(b³)² (1-b³)(1+b³) 1+b³
9) c⁶-c⁴ = (c³)² - (c²)² = (c³-c²)(c³+c²)= c³-c²
c³+c² c³+c² c³+c²