Question

1/ ab + ac

2/ ab – ac + ad

3/ ax – bx – cx + dx

4/ a(b + c) – d(b + c)

5/ ac – ad + bc – bd

6/ ax + by + bx + ay

Answer 1

1/ ab + ac = a.(b + c)

2/ ab – ac + ad = a.(b - c + d)

3/ ax – bx – cx + dx = x.(a - b - c + d)

4/ a(b + c) – d(b + c) = (b + c)(a - d)

5/ ac – ad + bc – bd = a.(c - d) + b.(c - d) = (c - d)(a + b)

6/ ax + by + bx + ay = x.(a + b) + y.(a + b) = (a + b)(x.y)