[Math] ‘Simplest form’ expand brackets

factoringfractions

When a question asks 'write in its simplest form', do I factorise, or expand…? Eg…

$$
\frac{x+10}{(x-4)(x+3)}
$$
Or
$$
\frac{x+10}{x^2-x-12}
$$

Or does it even matter?

Best Answer

Simplify, in this context, and in your exam, means that the terms must be factorised wherever possible, (with any common factors cancelled), so the first form is correct.

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