2.
2.1. 10a – 15c = 5 (2a – 3c)
2.2. x2 – 5x = x (x – 5)
2.3. -3v4 + 12v2 = 3v2 (-v2 + 4)
2.4. c – c3 = c (1 – c2)
2.5. x3 – 3×2 = x2 (x – 3)
2.6. 36xyz – 18xy = 18xy (2z – 1)
2.7. 6abc + 4ab + 12cb = 2b (3ac + 2a + 6c)
2.8. 49k7 – 7k3 = 7k3 (7k4 – 1)
2.9. 5(a – 3) – x(a – 3) = (a – 3) (5 – x)
3
3.1.
x2 – 16 = x2 – 42 = (x – 4) (x + 4)
5.
5.2. k2 – 10k + 25 = k2 – 2 * 5 * k + 52 = (k – 5)2 = (k – 5) (k – 5)
5.5. 4w2 – 20w + 25 = (2w)2 – 2 * 2w * 5 + 52 = (2w – 5)2 = (2w – 5) (2w – 5)
7.
P = m + z + m + z = 2(m + z)
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