Question

0.15. Упростите выражение:
1) 2a - 3b - (4a + 7b + c + 3);
2) 2xy - y² + (y² - xy) - (x² + xy);
3) (-2x² + x + 1)-(x²-x+7)-(4x² + 2x + 8);
4) (3a²-a + 2) + (-3a²+3a-1)-(a²-1);
5) (1-x+ 4x² - 8x³) + (2x³ + x² - 6x-3) - (5x³ - 8x²);
6) (0,5a-0,6b+ 5,5)-(-0,5a + 0,4b) + (1,3b - 4,5).​

Answer 1

Ответ:

1) 2а-3b-(4a+7b+c+3) = 2a - 3b - 4a - 7b - c - 3 = -2a - 10b - c - 32) 2xy-y^2+(y^2-xy)-(x^2+xy) = 2xy - y^2 + y^2 - xy - x^2 - xy = -x^2

3) (-2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8) = -2x^2 + x + 1 - x^2 + x - 7 - 4x^2 - 2x - 8 = -7x^2 -14 = -7(x^2 + 2)

4) (3a^2-a+2)+(3a^2+3a-1)-(a^2-1) = 3a^2 - a + 2 + 3a^2 + 3a - 1 - a^2 + 1 = 5a^2 + 2a + 2

5) (1-x+4x^2-8x^3)+(2x^3+x^2-+x-3)-(5x^3-8x^2) = 1 - x + 4x^2 - 8x^3 + 2x^3 + x^2 + x - 3 - 5x^3 + 8x^2 = -11x^3 + 14x^2 - 2

6) (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5) = 0.5a - 0.6b + 5.5 + 0.5a - 0.4b + 1.3b - 4.5 = a + 0.3b + 1