Question

"1 2. Выполните умножение. 1) (a− 1)(a + 2) 4) (a-1)(-a-2); | _ 2) (-a-1)(a-2); 5) (a +1)(a + 2); 1) (a² - b)(x + y²); x+ 3. Представьте выражение в виде многочлена стандартного вида 2) (m² – n)(n² – m); 5) xy + bx - ay – ab 163) (2a-3b) (4a + b); 5) (a - a²)(2a-a²); call ПОДГОТОВ 4. Выполните умножение: 1) (a²-2a-1)(a + 3); 3) (4y + 2y²-2)(3+ 2y); 3) (-a+1)(a + 2); 6) (-a-1)(-a-2). 4) (n - m)(2n + m); 6) (2b + 3b²)(−b² − b). 2) (2x-x²+3)(2-x); 4) (6-3x-2x²)(2x + 1);​

Answer 1

Ответ:

(a− 1)(a + 2) = $a^{2} +a-2$
(a-1)(-a-2) = $-a^{2}-a+2$
(-a-1)(a-2) = $-a^{2}+a+2$
(a +1)(a + 2) = $a^{2}+3a+2$
(a² - b)(x + y²) = $a^{2}y^{2}-by^{2}+xa^{2}-bx$
x+3 = x+3

(m² – n)(n² – m) = $m^{2}n^{2}-m^{3}-n^{3}+nm$
xy + bx - ay – ab = $(x-a)(y+b)$
(2a-3b) (4a + b) = $8a^{2}-10ab-3b^{2}$
(a - a²)(2a-a²) = $a^{4}-3a^{3}+2a^{2}$

(a²-2a-1)(a + 3) = $a^{3}+a^{2}-7a-3$
(4y + 2y²-2)(3+ 2y) = $4y^{3}+14y^2+8y-6$
(-a+1)(a + 2) = $2-a-a^2$
(-a-1)(-a-2) = $a^2+3a+2$
(n - m)(2n + m) = $2n^2-mn-m^2$
(2b + 3b²)(−b² − b) = $-3b^4-5b^3-2b^2$
(2x-x²+3)(2-x) = $x^3-4x^2+x+6$
(6-3x-2x²)(2x + 1) = $4x^3-4x^2+9x+6$

Answer 2

1. (a−1)(a+2) = a^2 + 2a - a - 2 = a^2 + a - 2
2. (-a-1)(a-2) = -a^2 + 2a + a - 2 = -a^2 + 3a - 2
3. (a + 1)(a + 2) = a^2 + 2a + a + 2 = a^2 + 3a + 2
4. (a^2 - b)(x + y^2) = a^2x + a^2y^2 - bx - by^2
5. (m^2 - n)(n^2 - m) = m^2n^2 - m^3 - n^3 + mn
6. xy + bx - ay - ab = bx - ay + xy - ab
7. (2a - 3b)(4a + b) = 8a^2 + 2ab - 12ab - 3b^2 = 8a^2 - 10ab - 3b^2
8. (a - a^2)(2a - a^2) = 2a^2 - a^3 - 2a^3 + a^4 = a^4 - 3a^3 + 2a^2
9. (a^2 - 2a - 1)(a + 3) = a^3 + 3a^2 - 2a^2 - 6a - a - 3 = a^3 + a^2 - 7a - 3
10. (4y + 2y^2 - 2)(3 + 2y) = 12y + 8y^2 + 6 + 4y^3 - 6 - 4y = 4y^3 + 8y^2 + 16y
11. (-a + 1)(a + 2) = -a^2 + 2a + a - 2 = -a^2 + 3a - 2
12. (-a - 1)(-a - 2) = a^2 + 2a + a + 2 = a^2 + 3a + 2
13. (n - m)(2n + m) = 2n^2 + mn - 2nm - m^2 = 2n^2 - m^2 - nm + mn
14. (2b + 3b^2)(-b^2 - b) = -2b^3 - 2b^2 - 3b^4 - 3b^3 = -3b^4 - 5b^3 - 2b^2
15. (2x - x^2 + 3)(2 - x) = 4 - 2x - 2x + x^2 - 3x + x^3 + 6 - 3 = x^3 - x^2 - 7x + 7
16. (6 - 3x - 2x^2)(2x + 1) = 12x + 6 - 6x^2 - 3x^2 - 4x^3 - 2x^2 = -4x^3 - 11x^2 + 12x + 6