# What is the standard form of y=(4x + 3)(3x+4) ?

Dec 12, 2015

$y = 12 {x}^{2} + 25 x + 12$

#### Explanation:

To rewrite the equation in standard form, expand the brackets.

y=(color(red)(4x) color(green)(+3))(color(orange)(3x) color(blue)(+4))

$y = \textcolor{red}{4 x} \left(\textcolor{\mathmr{and} a n \ge}{3 x}\right)$ $\textcolor{red}{+ 4 x} \left(\textcolor{b l u e}{4}\right)$ $\textcolor{g r e e n}{+ 3} \left(\textcolor{\mathmr{and} a n \ge}{3 x}\right)$ $\textcolor{g r e e n}{+ 3} \left(\textcolor{b l u e}{4}\right)$

Simplify.

$y = 12 {x}^{2} + 16 x + 9 x + 12$

$y = 12 {x}^{2} + 25 x + 12$

Dec 12, 2015

$\textcolor{b l u e}{\text{A slightly different way of thinking about the method.}}$

$12 {x}^{2} + 25 x + 12$

#### Explanation:

Given: color(blue)((4x+3)color(red)((3x+4))

Using the Distributive property

$\textcolor{b l u e}{4 x \textcolor{red}{\left(3 x + 4\right)} + 3 \textcolor{red}{\left(3 x + 4\right)}}$

$\left(12 {x}^{2} + 16 x\right) + \left(9 x + 12\right)$

As there is no multiplication left to do we can 'get rid' of the brackets

$12 {x}^{2} + 16 x + 9 x + 12$

$12 {x}^{2} + 25 x + 12$