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(a+b)(a-b) Expansion and Visualisation

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Question

How do you factor $x^{2} + 13 x + 12$ ?

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Solution

$(x + 12) (x + 1)$
Explanation:
the factors of $+ 12$ which sum to $+ 13$ are $+ 12$ and $+ 1$
$x^{2} + 13 x + 12 = (x + 12) (x + 1)$

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