Вправи: 45

45. Розклади на множники вираз.

a) x² – 16 = (x – 4)(x + 4);

б) x² – 9y⁴ = (x – 3y²)(x + 3y²);

в) x² – 6x + 9 = (x – 3)² = (x – 3)(x – 3);

г) a³ – 4a = a(a² – 4) = a(a – 2)(a + 2);

ґ) 3a² – 6ab + 3b² = 3(a² – 2ab + b²) = 3(a – b)² = 3(a – b)(a – b);

д) 2x + 2y – ax – ay = 2(x + y) – a(x + y) = (x + y)(2 – a).