Algebraic Manipulation

Expanding Brackets
1. To expand or multiply out this expression we multiply every term inside the bracket by the them outside the bracket
2. 3y(4-2y)= 12y-6y^2
3. when there is a negative term outside the bracket , the signs of the multiple terms change
Simplifying brackets
1. sometimes you need to expand the bracket and the simplify the bracket
  1. 3x+2x(5-x)=3x+10x-2x^2=13x-2x^2
Expanding Two Brackets
1. to multiply two brackets we multiply every term in the second bracket to every term in the first bracket
2. (x+y)(x+y) = x^2+xy+y^2
3. with practice you can expand two brackets in a simpler form
Squaring Expressions
1. (2-3a)^2=4-12a+9a^2
2. the first term is squared
3. the second one is the product of the two terms
4. the third one is squared
differences between two squares
1. when we simplify the two the middle number cancel out
2. (a-b)(a+b)=A^2-b^2

Zusammenfassung der Ressource

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