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Algebra-Expanding Brackets
- 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
- to expand these brackets you
have to times everything in
the bracket by the number .
- 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
- 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.
- 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
- 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.
- 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.
- (2 – 3a)2 = (2 – 3a)(2 – 3a) = 4 – 6a – 6a + 9a^2
= 4 – 12a + 9a2