Вправи: 108

108. Виконайте дії:

1) 3x+3 + x+4x2-9 = 3\x-3x+3 + x+4x-3(x+3) = 3x-3+(x+4)(x- 3)(x+3) = 3x-9+ x+4(x-3)(x+3) = 4x-5x2-9;

2) a2a2-64 – aa-8 = a2(a-8)(a+8) – a\a+8a-8 = a2-a(a+8)(a-8)(a+8) = a2-a2-8a(a-8)(a+8) = –8aa2-64 = 8a64-a2;

3) 6b9b2-4 – 13b-2 = 6b(3b-2)(3b+2) – 1\3b+23b-2 = 6b-(3b+2)(3b-2)(3b+2) = 6b-3b-2(3b-2)(3b+2) = 3b-2(3b-2)(3b+2) = 13b+2;

4) 3a+ ba2-b2 + 1a+ b = 3a+ b(a- b)(a+ b) + 1\a-ba+ b = 3a+ b+ a- b(a- b)(a+ b) = 4aa2-b2;

5) mm+5 – m2m2+10m+25 = m\m+5m+5 – m2(m+5)2 = mm+5-m2 (m+5)2 = m2+5m-m2 (m+5)2 = 5m(m+5)2;

6) ba+ b – b2a2+b2+2ab = b\a+ba+ b – b2(a+ b)2 = ba+ b-b2 (a+ b)2 = ab+ b2-b2 (a+ b) = ab(a+ b)2.