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

2 Answers
Dec 12, 2015

y=12x^2+25x+12y=12x2+25x+12

Explanation:

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

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

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

Simplify.

y=12x^2+16x+9x+12y=12x2+16x+9x+12

y=12x^2+25x+12y=12x2+25x+12

Dec 12, 2015

color(blue)("A slightly different way of thinking about the method.")A slightly different way of thinking about the method.

12x^2+25x+1212x2+25x+12

Explanation:

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

Using the Distributive property

color(blue)(4xcolor(red)((3x+4))+3color(red)((3x+4)))4x(3x+4)+3(3x+4)

(12x^2 +16x) +(9x+12)(12x2+16x)+(9x+12)

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

12x^2 +16x +9x+1212x2+16x+9x+12

12x^2+25x+1212x2+25x+12