Question

Phân tích các đa thức sau thành nhân tử:

1. ac - ad + ( c - d )

2. ax + ay - x - y

3. 4x + by + 4y + bx

4. 1 - ax - x + a

Answer 1

1. ac - ad + (c - d) = a(c - d) + (c - d) = (a + 1)(c - d)

2. ax + ay - x - y = a(x + y) - (x + y) = (a - 1)(x + y)

3. 4x + by + 4y + bx = 4(x + y) + b(x + y) = (b + 4)(x + y)

4. 1 - ax - x + a = a(1 - x) + (1 - x) = (a + 1)(1 - x)

Answer 2

1. ac-ad +(c-d)

= a(c-d) +(c-d)

=(c-d) (a+1)

2. ax+ay-x-y

=(ax+ay)-(x+y)

= a(x+y)-(x+y)

=(x+y) (a-1)

3. 4x +by +4y+bx

=(4x+4y) +(bx+by)

=4(x+y) +b(x+y)

=(4+b) (x+y)

4.=(1+a)-(x+ax)

=(1+a)-x(1+a)

=(1+a)(1-x)

Answer 3

1. ac-ad +(c-d)

= a(c-d) +(c-d)

=(c-d) (a+1)

2. ax+ay-x-y

=(ax+ay)-(x+y)

= a(x+y)-(x+y)

=(x+y) (a-1)

3. 4x +by +4y+bx

=(4x+4y) +(bx+by)

=4(x+y) +b(x+y)

=(4+b) (x+y)

4.=(1+a)-(x+ax)

=(1+a)-x(1+a)

=(1+a)(1-x)