STARTER Factorise the following: x2 + 12x + 32 x2 – 6x – 16

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STARTER Factorise the following: x2 + 12x + 32 x2 – 6x – 16

Note 8: Algebraic Fractions Algebraic fractions follow the same rules as numerical fractions. Adding and Subtracting Fractions can only be added or subtracted if they have the same denominator. Example: Simplify 2d + 4d = 3 5 10d + 12d 15 15 Common denominator is 15 = 22d 15

5m x 8p 6 3n = 40mp 18n = 20mp 9n Multiplying To multiply fractions, multiply the numerators together and the denominatiors together – then simplify if possible Example: Calculate 5m x 8p 6 3n = 40mp 18n = 20mp 9n

Dividing To divide a fraction multiply by the reciprocal of the second fraction. Example: Calculate 2e 3d = 7 5 2e x 5 7 3d Multiply by reciprocal = 10e 21d

Page 43 Exercise F