#NumberAndAlgebra #Path #Adv >[!info]- [Algebraic techniques C (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fa7879a3d5) >- MA5-ALG-P-02 selects and applies appropriate algebraic techniques to operate with algebraic fractions, and expands, factorises and simplifies algebraic expressions ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | -------------------------- | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------- | | [[Algebraic Techniques B]] | - algebraic fractions with pronumeral denominator<br>- binomial expansion<br>- factorising monic quadratic trinomials<br>- factorising expressions by taking out negative factors | - algebraic fractions with binomial denominator<br>- special binomial products<br>- factorising non-monic quadratic trinomials<br>- factorising algebraic fractions | ## [[Operate with algebraic fractions involving binomial numerators and numerical denominators.pdf]] - Add and subtract algebraic fractions with binomial numerators and numerical denominators ## [[Expand, factorise and simplify algebraic expressions including special products.pdf]] - Prove and apply these special products $(a-b)(a+b)=a^2-b^2$, $(a+b)^2=a^2+2ab+b^2$, $(a-b)^2=a^2-2ab+b^2$ - Expand and simplify a variety of algebraic expressions including binomial products and the special products - Factorise algebraic expressions involving the special products and strategies, including common factors, grouping in pairs for 4-term expressions and quadratic trinomials (monic and non-monic) - Simplify algebraic expressions involving algebraic fractions using factorisation