What 3x+4 divided by 2x-3??

Mathematics · High School · Tue Nov 03 2020

Answered on

So lets try to write it mathematically:

(3x+4)/(2x-3)=

Lets try to multiply both sides with the denominators conjugate, so lets multiply it with (2x+3)

(3x+4)(2x+3)/(2x-3)(2x+3) = 

We know that (a-b)(a+b) = a^2-b^2

In the dominators case we will have this:

(3x+4)(2x+3)/ (2x)^2 - 3^2

(3x+4)(2x+3)/4x^2 - 9

Lets multiply the brackets together.

6x^2+9x+8x+12/4x^2 - 9

6x^2+17x+12 / 4x^2 -9