Question

СРОЧНО!!! разложите многочлен на множители методом группировки.1. ab+ac+xb+xc2. cd+2c+ad+2a3. ab-ac+yb-yc4. 2a-2d+am-ad5. xy-xz+my-mz6. 5a+5b-am-bm7. 3x+3y-bx-by8. 10ab-2a+5b(вторая степень)-b9. 6mn-3m+2n-110. 15xy-5x-3y+1

Answer 1

Перепроверь задание 4,может ты букву перепутала

Answer 2

1. ab + ac + xb + xc: We can group the terms as follows: (ab + ac) + (xb + xc) Factor out common terms from each group: ab(a + c) + x(b + c) Final factored form: (a + c)(ab + xb)

2. cd + 2c + ad + 2a: Group the terms: (cd + 2c) + (ad + 2a) Factor out common terms: c(d + 2) + a(d + 2) Final factored form: (d + 2)(c + a)

3. ab - ac + yb - yc: Group the terms: (ab - ac) + (yb - yc) Factor out common terms: a(b - c) + y(b - c) Final factored form: (b - c)(a + y)

4. 2a - 2d + am - ad: Group the terms: (2a - 2d) + (am - ad) Factor out common terms: 2(a - d) + a(m - d) Final factored form: (a - d)(2 + m)

5. xy - xz + my - mz: Group the terms: (xy - xz) + (my - mz) Factor out common terms: x(y - z) + m(y - z) Final factored form: (y - z)(x + m)

6. 5a + 5b - am - bm: Group the terms: (5a + 5b) - (am + bm) Factor out common terms: 5(a + b) - m(a + b) Final factored form: (a + b)(5 - m)

7. 3x + 3y - bx - by: Group the terms: (3x - bx) + (3y - by) Factor out common terms: x(3 - b) + y(3 - b) Final factored form: (3 - b)(x + y)

8. 10ab - 2a + 5b^2 - b: Group the terms: (10ab - 2a) + (5b^2 - b) Factor out common terms: 2a(5b - 1) + b(5b - 1) Final factored form: (5b - 1)(2a + b)

9. 6mn - 3m + 2n - 1: Group the terms: (6mn - 3m) + (2n - 1) Factor out common terms: 3m(2n - 1) + (2n - 1) Final factored form: (2n - 1)(3m + 1)

10. 15xy - 5x - 3y + 1: Group the terms: (15xy - 5x) + (-3y + 1) Factor out common terms: 5x(3y - 1) - 1(3y - 1) Final factored form: (3y - 1)(5x - 1)