Вправи: 567

567. Розкладіть на множники:

1) 12 + 72 = 12 + 12•6 = 12 + 12 • 6 = 12 • (1 + 6);

2) 45 – 227 = 9•5 – 29•3 = 9 • 5 – 29 • 3 = 35 – 63 = 3(5 – 23);

3) 2 + 2 = 2 + (2)² = 2(1 + 2);

4) 311 – 11 = 311 – (11)² = 11(3 – 11);

5) 27 – 14 = 2 • (7 – 7) = 2 • 7(1 – 7) = 27(1 – 7);

6) –36 + 6 = –6 • 6 + 6 = –6 • (6)² + 6 = 6 • (–66 + 1) = 6(1 – 66);

7) 15 + 330 + 45 = 15 + 315•2 + 15•3 = 15 + 315 • 2 + 15 • 3 = 15(1 + 32 + 3);

8) 510 – 50 + 200 = 510 – 10•5 + 10•20 = 510 – 10 • 5 + 10 • 20 = 10(5 – 5 + 20);

9) 12 – 18 – 27 = 4 • 3 – 3•6 – 3•9 = 4(3)² – 3 • 6 – 3 • 9 = 3(43 – 6 – 9) = 3 • (43 – 6 – 3).