#NumberAndAlgebra #Path #Adv
>[!info]- [Algebraic techniques B (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fa0ac6000c)
>- MA5-ALG-P-01 simplifies algebraic fractions involving indices, and expands and factorises algebraic expressions
## š Prior Knowledge
| Content | Prior knowledge | Used for |
| -------------------------- | --------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------- |
| [[Algebraic Techniques]] | - factorisation by taking out single positive factor | - factorising by taking out single negative factor |
| [[Algebraic Techniques A]] | - algebraic fractions with numerical denominator<br>- expanding binomial products | - algebraic fractions with pronumeral denominator<br>- expanding binomial products |
| [[Indices A]] | - index laws | - simplifying fractions with indices |
## [[Apply the 4 operations involving algebraic fractions with pronumerals in the denominator.pdf]]
- Simplify algebraic fractions, including those involving indices
- Simplify expressions that involve operations with algebraic fractions, including algebraic fractions that involve pronumerals in the denominator and/or indices
## [[Factorise algebraic expressions by taking out a common algebraic factor.pdf]]
- Factorise algebraic expressions, including those involving indices, by determining the highest common factors (HCF) including negative coefficients/pronumerals
## [[Expand binomial products and factorise monic quadratic expressions.pdf]]
- Expand binomial products
- Factorise monic quadratic trinomial expressions
- Solve problems involving expansion and factorisation of algebraic expressions