Вправи: 448

448. Подайте у вигляді добутку многочленів вираз:

1) (x – 6)(2x – 4) + (x – 6)(8 – x) = (x – 6)(2x – 4 + 8 – x) = (x – 6)(x + 4);

2) (x² – 2)(3у + 5) – (x² – 2)(y + 12) = (x² – 2)(3у + 5 – (у + 12)) =

= (x² – 2)(2y – 7);

3) (4a – 3b)(5a + 8b) + (3b – 4a)(2a + b) = (4a – 3b)(5a + 8b) – (4a – 3b)(2a + b) = (4a – 3b)(5a + 8b – (2a + b)) = (4a – 3b)(3a + 7b);

4) (p – 9)⁴(2p + 1)³ + (p – 9)³(2p + 1)4 = (p – 9)³(2p + 1)³(p – 9 + 2p + 1) = (p – 9)³⁽2p + 1)³ ∙ (3p – 8).