Назад
ГДЗ Алгебра 7 клас Мерзляк (2024)
§ 1. Алгебраїчні вирази
Реклама:
Спростіть вираз:
1) (y + 7)2 + (y + 2)(y – 7) = y2 + 14y + 49 + y2 – 7y + 2y – 14 = 2y2 + 9y + 35;
2) (a + 1)(a – 1) – (a + 4)2 = a2 – 1 – (a2 + 8a + 16) = a2 – 1 – a2 – 8a – 16 = –8a – 17;
3) (x – 10)(9 – x) + (x + 10)2 = 9x – x2 – 90 + 10x + x2 + 20x + 100 = 39x + 10.
4) (x – 4)(3 + х) – (x – 3)2 = 3х + x2 – 12 – 4х – (x2 – 6x + 9) = x2 – х – 16 – x2 – 6x – 9 = -7x – 25.
1) (y + 7)2 + (y + 2)(y – 7) = y2 + 14y + 49 + y2 – 7y + 2y – 14 = 2y2 + 9y + 35;
2) (a + 1)(a – 1) – (a + 4)2 = a2 – 1 – (a2 + 8a + 16) = a2 – 1 – a2 – 8a – 16 = –8a – 17;
3) (x – 10)(9 – x) + (x + 10)2 = 9x – x2 – 90 + 10x + x2 + 20x + 100 = 39x + 10.
4) (x – 4)(3 + х) – (x – 3)2 = 3х + x2 – 12 – 4х – (x2 – 6x + 9) = x2 – х – 16 – x2 – 6x – 9 = -7x – 25.