# What is the standard form of y= (2x+3)^2+(3x-14)^2 ?

Nov 18, 2015

$y = 12 {x}^{2} + 96 x + 205$

#### Explanation:

given y= color(blue)((2x+3)^2) + color(brown)((3x-14)^2

Expanding the brackets

In what follows I use brackets only as a means for grouping so that you can see what is hapening
$y = \textcolor{b l u e}{\left(2 {x}^{2} + 12 x + 9\right)} + \textcolor{b r o w n}{\left(9 {x}^{2} + 84 x + 196\right)}$

Grouping like terms:
$y = \left(2 {x}^{2} + 9 {x}^{2}\right) + \left(12 x + 84 x\right) + \left(9 + 196\right)$

$y = 12 {x}^{2} + 96 x + 205$