ПОВТОРЮЄМО АЛГЕБРУ ЗА 7 КЛАС: 36

36. Розкладіть многочлен на множники:

1) 6а3 – 2а2 – 12a = 2a(3а2 – a – 6) = 2a(3a + 2)(a – 3);

2) x5 – 3x3 – 2x2 + 6 = (x5 – 3x3) – (2x2 – 6) = x3(x2 – 3) – 2(x2 – 3) = (x2 – 3)( x3 – 2);

3) –4x2 + 20x – 25 = –(4x2 – 20x + 25) = –(2x-5)2;

4) 0,36p8 – c10x12 = (0,6p4)2 – (c5x6)2 = (0,6p4 – c5x6)(0,6p4 + c5x6);

5) 64m3c9 + t30 = (4mc3)3 + (t10)3 = (4mc3 + t10)((4mc3)2 – 4mc3 • t10 + t20) = (4mc3 + t10)(16m2c6 – 4mc3t10 + t20);

6) c2 + 2cd + d2 – 25 = (c+d)2 – 52 = ((c + d) – 5)((c + d) + 5).