1) 8a - 12b = 4(2a - 3b)
2) 3a - ab = a(3 - b)
3) 6ax + 6ay = 6a(x + y)
4) 4a² + 8ac = 4a(a + 2c)
5) a⁵ + a² = a²(a³ + 1) = a²(a + 1)(a² - a + 1)
1) a(m + n) - b(m + n) = (m + n)(a - b)
2) x(2a - 5b) + y(2a - 5b) = (2a - 5b)(x + y)
3) 2m(a - b) + 3n(b - a) = 2m(a - b) - 3n(a - b) = (a - b)(2m - 3n)
4) 5x(b - c) - (c - b) = 5x(b - c) + (b - c) = (5x + 1)(b - c)
5) (a - 4)² - 5(a - 4) = (a - 4)(a - 4 - 5) = (a - 4)(a - 9)
1) ab + ac + xb + xc = a(b + c) + x(b + c) = (b + c)(a + x)
2) 5a + 5b - am - bm = 5(a + b) - m(a + b) = (a + b)(5 - m)
3) 6m - mn - 6 + n = m(6 - n) - (6 - n) = (6 - n)(m - 1)
1) x² - 4 = (x - 2)(x + 2)
2) 25 - 9a² = (5 - 3a)(5 + 3a)
3) 36m² - 100n² = 4(9m² - 25n²) = 4*(3m - 5n)(3m + 5n)
4) 0,04p² - 1,69q² = (0,2p - 1,3q)(0,2p + 1,3q)
5) x²y² - 4/9 = (xy - 2/3)(xy + 2/3)