# What is the standard form of y= (3x-1)(4x-2) ?

Dec 18, 2015

$y = 12 {x}^{2} - 10 x + 2$

#### Explanation:

The general standard form for a quadratic is:
$\textcolor{w h i t e}{\text{XXX}} y = a {x}^{2} + b x + c$

The given equation: $y = \left(\textcolor{red}{3 x - 1}\right) \left(\textcolor{b l u e}{4 x - 2}\right)$
can be transformed into the standard form by multiplying the factors on the right side.

{: (xx," |",color(red)(3x),color(red)(-1)), ("-----",,"-----","-----"), (color(blue)(4x)," |",12x^2,-4x), (color(blue)(-2)," |",-6x,+2), ("-----","-----","-----","-----"), (,color(green)(12x^2),color(green)(-10x),color(green)(+2)) :}