# simplifyPQ

i.e. product/quotient or x/Ã·

sample Q from each layer | teach-learn questions | |||||||||||||

layer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |

practise-learn worksheets | Â | Â | Â | Â | Â | Â | Â | Â | ||||||

print hints | s/s 4pp | s/s 2pp | d/s 2pp | s/s 4pp | s/s 2pp | s/s 4pp | s/s 4pp | s/s 4pp | s/s 4pp | s/s 3pp | s/s 3pp | s/s 3pp | s/s 3pp | s/s 3pp |

see How to ...Â download a practise-learn pdf worksheet from learning resourcesÂ if you are not sure how to download a document

### NC information

A1 use and interpret algebraic manipulation, including:

*ab*in place of*a*Ã—*b*- 3
*y*in place of*y*+*y*+*y*and 3Ã—*y* *a*^{2 }in place of*a*Ã—*a*,*a*^{3 }in place of*a*Ã—*a*Ã—*a*,*a*^{2}*b*in place of*a*Ã—*a*Ã—*b*- a/b in place ofÂ
*a*Ã·*b* - coefficients written as fractions rather than as decimals
- brackets

A4 simplify and manipulate algebraic expressions (__including those involving surds__ **and algebraic fractions**) by:

- collecting like terms
- multiplying a single term over a bracket
- taking out common factors
- expanding products of two
**or more**binomials __factorising quadratic expressions of the form__;*x*^{2 }+*bx*+*c*, including the difference of two squares**factorising quadratic expressions of the form***ax*^{2 }*+bx+c*- simplifying expressions involving sums, products and powers, including the laws of indices

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