Algebra-Expanding Brackets

Algebra-Expanding Brackets

1. 1 pair of brackets

   • to expand these brackets you have to times everything in the bracket by the number .
   • 3y(4-2y) = 12y -6y^2

2. 2 pairs of brackets

   • to expand these brackets you have to use the FOIL method by multiplying each number from each bracket by one from the other bracket. times the First of each bracket, Outside, Inside and then you simplify the answer.
   • (x – 5)(x + 2) = (x-5)(x+2)=x^2+2x-5x-10=x^2-3x-10

3. difference of 2 squares

   • to expand this you treat this as a normal pair of brackets. you separate one of the brackets to make then you get 4a^2-14a+14a-49. because theres a addition and subtraction of the same phrase they cancel each other out.
   • (2a + 7)(2a – 7) = 2a(2a-7) + 7(2a-7) = 4a^2-14a+14a-49 = 4a^2 - 49

4. perfect squares

   • (2 – 3a)2 = (2 – 3a)(2 – 3a) = 4 – 6a – 6a + 9a^2 = 4 – 12a + 9a2
   • once you expand the brackets you treat it like 2 pairs of brackets. by using the FOIL method and then simplifying to get the answer.