Simplify: 
$( 3x\ +\ 4)( 2x\ -\ 3) \ +\ ( 5x\ -\ 4)( x\ +\ 2)$

Given:

$( 3x\ +\ 4)( 2x\ -\ 3) \ +\ ( 5x\ -\ 4)( x\ +\ 2)$

To simplify:

We have to find the value of $( 3x\ +\ 4)( 2x\ -\ 3) \ +\ ( 5x\ -\ 4)( x\ +\ 2)$

Solution:

$(3x\ +\ 4)(2x\ -\ 3)\ +\ (5x\ -\ 4)(x\ +\ 2)$

$=\ 3x(2x\ -\ 3)\ +\ 4(2x\ -\ 3)\ +\ 5x(x\ +\ 2)\ -\ 4(x\ +\ 2)$

$=\ 6x^{2} \ -\ 9x\ +\ 8x\ -\ 12\ +\ 5x^{2} \ +\ 10x\ -\ 4x\ -\ 8$

$=\ \mathbf{11x^{2} \ -\ 5x\ -\ 20}$

So, the answer is $\mathbf{11x^{2} \ -\ 5x\ -\ 20}$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

232 Views

Kickstart Your Career

Get certified by completing the course

Get Started