# What is the standard form of y= (x+2) (2x+5) ?

$y = 2 {x}^{2} + 9 x + 10$
If we start with $y = \left(x + 2\right) \left(2 x + 5\right)$, and we are trying to convert this into standard form, our first step is to expand this. Later on we'll combine like-terms and tidy up any stray pieces.
So, let's expand $\left(\textcolor{g r e e n}{x} + \textcolor{\mathmr{and} a n \ge}{2}\right) \cdot \left(\textcolor{b l u e}{2 x} + \textcolor{red}{5}\right)$. $\textcolor{g r e e n}{x}$ multipled by $\textcolor{b l u e}{2 x}$ is $2 {x}^{2}$ and $\textcolor{g r e e n}{x}$ times $\textcolor{red}{5}$ equals $5 x$. $\textcolor{\mathmr{and} a n \ge}{2}$ times $\textcolor{b l u e}{2 x}$ is $4 x$, and $\textcolor{\mathmr{and} a n \ge}{2}$ by $\textcolor{red}{5}$ is $10$. That means we now have $2 {x}^{2} + 5 x + 4 x + 10$.
From there we just need to combine like-terms. $5 x + 4 x$ is $9 x$. That's all we can combine. Let's take another look at the equation: $y = 2 {x}^{2} + 9 x + 10$. That looks like it is in $a {x}^{2} + b x + c$ format to me, don't 'ya think ;). I think our work is done. Nice job!