ГДЗ Алгебра 7 клас Мерзляк (2024)

Перетворіть у многочлен вираз:
1) 6(1 – 2c)2 = 6(1 – 4c + 4c2) = 6 – 24c + 24c2;
2) –12(x + 1/3y)2 = –12(x2 + 2/3xy + 1/9y2) = –12x2 – 8xy – 4/3y2;
3) a(a – 6b)2 = a(a2 – 12ab + 36b2) = a3 – 12a2b + 36ab2;
4) 5b(b2 + 7b)2 = 5b(b4 + 14b3 + 49b2) = 5b5 + 70b4 + 245b3;
5) (a + 3)(a – 4)2 = (a + 3)(a2 – 8a + 16) = a3 – 8a2 + 16a + 3a2 – 24a + 48 = a3 – 5a2 – 8a + 48;
6) (2x + 4)2(x – 8) = (4x2 + 16x + 16)(x – 8) = 4x3 – 32x2 + 16x2 – 128x + 16x – 128 = 4x3 – 16x2 – 112x – 128;
7) (a – 5)2(a + 5)2 = ((a – 5)(a + 5))2 = (a2 – 25)2 = a4 – 50a2 + 625;
8) (3x + 4y)2(3x – 4у)2 = ((Зх + 4y)(3x – 4y))2 = (9x2 – 16y2)2 = 81x4 – 288x2y2 + 256y4.