Question

Answer 1

1: x+y+a(x+y)

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

=(x+y)(a+1)

2: a+b+x(a+b)

=(a+b)+x(a+b)

=(a+b)(x+1)

3: a-b-x(a-b)

=(a-b)-x(a-b)

=(a-b)(1-x)

4: x(a+b)-a-b

=x(a+b)-(a+b)

=(a+b)(x-1)

5: a(x+y)-x-y

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

=(x+y)(a-1)

6: x-y-a(x-y)

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

=(x-y)(1-a)

7: a-b+x(a-b)

=(a-b)+x(a-b)

=(a-b)(x+1)

8: a-b-x(b-a)

=a-b+x(a-b)

=(a-b)(x+1)

9: a(x-y)-x+y

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

=(x-y)(a-1)

10: x(a-b)-a+b

=x(a-b)-(a-b)

=(a-b)(x-1)