7.4.3 Expanding and Factorising
This subsection is not completed yet, but in the meantime here are some practice questions.
Remember:
\[a(b+c) = ab + ac\]
Remember:
Expanding the difference of two squares: \[(a-b)(a+b) = a^2 - b^2\]
Remember:
Factorising the difference of two squares: \[a^2 - b^2 = (a-b)(a+b)\]
Remember:
Expanding a squared sum:
\[(a+b)^2 = a^2 + 2ab + b^2\]
It’s a common error to forget the ‘cross-term’ $2ab$. It’s when we expand the square of a product that there’s no cross-term: $(ab)^2 = a^2b^2$.
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The How and Why of Mathematics by J L Gorham is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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The How and Why of Mathematics by J L Gorham is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.