How do you simplify (x+4) (x-3)?

Nov 11, 2015

The only way to simplify this equation is by expansion and grouping together the like terms.

Explanation:

Expanding out the brackets
To expand out the brackets we'll use the F.O.I.L rule. The F stands for first, we will multiply the first term in both brackets together to get ${x}^{2}$. O stands for outside, we'll multiply the outside terms together, $x$ and $- 3$ to get $- 3 x$. I stands for inside, we'll multiply the two inside terms together to get $4 x$. Finally L stands for Last, the last terms in both brackets. Multiplying them together we get $- 12$.

Overall we get ${x}^{2} - 3 x + 4 x - 12$

Grouping together like terms
This part is easy! Any terms that are the same we group together into one term. The only terms we have that are the same are $- 3 x$ and $4 x$ grouping these together we get $x$.

This means our final answer is ${x}^{2} + x - 12$