Вправи: 846

846. Розкладіть на множники:

1) ax² – ay² = a(x² – у²) = a(x – y)(x + y);

2) mа² – 4mb² = m(a – 4b²) = m(a – 2b)(a + 2b);

3) 28 – 7m² = 7(4 – m²) = 7(2 – m)(2 + m);

4) p⁵ – p³= p³(p² – 1) = p³(p – 1) (p + 1);

5) b – 4b³ = b(1 – 4b²) – b(1 – 2b)(1p + 2b);

6) a⁵ – a³c² = a³(a² – c²) = a³(a – c)(a + c);

7) 15d – 15d³ = 15d(1 – d²)= 15d(1 – d)(1 + d);

8) 625b³ – b⁵ = b³(625 – b²) = b³(25 – b)(25 + b);

9) 500a⁵ – 45a³ = 5a³(100a² – 9) = 5a³(10a – 3)(10a + 3).