Question

104. Спростіть вираз: 1) (x - 2)(x - 11) - 2x(4 - 3x) 2) (a + 6)(a - 3) + (a - 4)(a + 5) 3) (y - 8)(2y - 1) - (3y + 1)(5y - 2) 4) (3m - 4n)(3m + 5n) - (4, 5m - n)(2m + 4n) 5) (x ^ 2 + 2y)(x ^ 3 + 7y) - 6x ^ 3 * (x ^ 2 - 3y)

Answer 1

Ответ:

1) (x - 2)(x - 11) - 2x(4 - 3x)

= x^2 - 11x - 2x + 22 - 2x + 6x^2

= 7x^2 - 15x + 22

2) (a + 6)(a - 3) + (a - 4)(a + 5)

= a^2 - 3a + 6a - 18 + a^2 + 5a - 4a - 20

= a^2 + 4a - 18 - 20

= a^2 + 4a - 38

3) (y - 8)(2y - 1) - (3y + 1)(5y - 2)

= 2y^2 - y - 16y + 8 - 15y^2 + 6y + 5y - 2

= -13y^2 - 24y + 6

4) (3m - 4n)(3m + 5n) - (4, 5m - n)(2m + 4n)

= 9m^2 - 12mn + 15mn - 20n^2 - 9m^2 + 12mn - 45mn + 10n^2

= -56mn - 10n^2

5) (x^2 + 2y)(x^3 + 7y) - 6x^3 * (x^2 - 3y)

= x^5 + 7xy + 2yx^3 + 14y^2 - 6x^5 + 18yx^3

= -5x^5 + 20yx^3 + 14y^2 + 7xy

Объяснение: