1. Algebraic Fractions 2. Factorising and Simplifying W A L T e re
earning o
Factorise and simplify fractions

3. Example 1 Simplify ÷ (x + 3) ÷ (x + 3) Common factor of 2
Factorise top
and bottom fully
Common factor of 5
÷ (x + 3)
Divide top
and bottom by (x + 3)
÷ (x + 3)

4. Example 2 Simplify ÷ (x - 2) ÷ (x - 2) Common factor of 7
Factorise top
and bottom fully
Common factor of 3x
÷ (x - 2)
Divide top
and bottom by (x - 2)
÷ (x - 2)

5. Example 3 Simplify ÷ (x - 4) ÷ (x - 4) Difference of 2 squares
Factorise top
and bottom fully
Common factor of 2
÷ (x - 4)
Divide top
and bottom by (x-4)
÷ (x - 4)

6. Example 4 Simplify ÷ (y -3) ÷ (y -3) Common factor of 6 Factorise top
and bottom fully
Difference of 2 squares
÷ (y -3)
Divide top
and bottom by (y -3)
÷ (y -3)

7. Example 5 Simplify ÷ (x-4) ÷ (x-4) trinomial Factorise top
and bottom fully
difference of 2 squares
÷ (x-4)
Divide top
and bottom by (x -4)
÷ (x-4)

8. Example 6 Simplify ÷ (x +5) ÷ (x +5) trinomial Factorise top
and bottom fully
common factor 2
÷ (x +5)
Divide top
and bottom by (x +5)
÷ (x +5)

9. Simplify A B C D E F

10. Simplify A B C D E F

11. Example 7 Simplify ÷ (x+3) ÷ (x+3) common factor of x Factorise top
and bottom fully
difference of 2 squares
÷ (x+3)
Divide top
and bottom by (x +3)
÷ (x+3)

12. Example 8 Simplify ÷ (x+3) ÷ (x+3) trinomial Factorise top
and bottom fully
common factor of 3
÷ (x+3)
Divide top
and bottom by (x +3)
÷ (x+3)

13. Example 9 Simplify ÷ (x-2) ÷ (x-2) difference of 2 squares
Factorise top
and bottom fully
common factor of x
÷ (x-2)
Divide top
and bottom by (x-2)
÷ (x-2)

14. Example 10 Simplify ÷ (x+3) ÷ (x+3) trinomial Factorise top
and bottom fully
trinomial
÷ (x+3)
Divide top
and bottom by (x +3)
÷ (x+3)

15. Example 11 Simplify ÷ (x-2) ÷ (x-2) trinomial Factorise top
and bottom fully
common factor
÷ (x-2)
Divide top
and bottom by (x-2)
÷ (x-2)

16. Example 12 Simplify ÷ (3x-2) ÷ (3x-2) common factor Factorise top
and bottom fully
trinomial
÷ (3x-2)
Divide top
and bottom by (3x-2)
÷ (3x-2)

17. Example 13 Simplify ÷ (x+1) ÷ (x+1) trinomial Factorise top
and bottom fully
trinomial
÷ (x+1)
Divide top
and bottom by (x +1)
÷ (x+1)

18. Simplify A B C D E F

19. Simplify A B C D E F

20. Algebraic Fractions 2. Factorising and Simplifying W A L T e re
earning o
Factorise and simplify fractions
W I L F
Factorise the numerator and denominator
hat ‘m
ooking or
Common factor, difference of 2 squares, trinomial
Simplify fraction
Answer