Algebraic Fractions 2. Factorising and Simplifying W A L T e re

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Presentation transcript:

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

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)

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)

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)

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)

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)

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)

Simplify A B C D E F

Simplify A B C D E F

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)

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)

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)

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)

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)

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)

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)

Simplify A B C D E F

Simplify A B C D E F

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