Algebra - Expansion of Brackets

We don't usually write x (times) in an equation when multiplying, we instead just put the number in front of the bracket. (Example: 3y(4-2y), not 3y x (4-2y)
Distributive Law
1. a(b+c)
  1. We expand it by multiplying the number outside the bracket with both numbers inside the bracket.
2. (a+b)(c+d)
  1. we do this by multiplying by using SLIP.
Perfect Squares
1. (a+b)^2
2. We get our answer by expanding the brackets, and then simplifying it later,
  1. In general:
Difference of 2 Squares
1. (a+b)(a-b)
  1. Method: We will first have to expand the brackets, which will be a^2 +ab -ab -b^2. We will then need to simplify the terms and it will become a^2 - b^2.
2. When we simplify, the two middle terms cancel out.
  1. Examp,e:
Simplifying
1. We simplify equations by finding the common factors, and then we simplify.
2. This is so that we can see the equations in a much easier way.
3. Example:
Expanding
1. Expanding expression with brackets
  1. When there is a negative term outside the bracket, the sign of the multiplied terms change.
    1. Example:
  2. To expand, we have to multiply every term inside a bracket by the term outside the bracket.
    1. Example:
  3. Expanding brackets and simplifying
    1. Sometimes, we need to multiply out brackets then simplify.
      1. Multiplying out both brackets or terms and collecting like terms.
    2. Examples:
2. We have to multiply the bracket in order to expand it.
We expand expressions by using SLIP

Resource summary

	Created by jerick_hartono about 9 years ago