Question

Simplify the expression (2x − 9)(x + 6)

Answer 1

Answer:  

Simplified form of given expression (2x – 9 )( x + 6 )  is $2 \mathrm{x}^{2}+3 \mathrm{x}-54$

Solution:

We need to simplify following expression.

(2x – 9) ( x + 6)  

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

$=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54$

On simplification, we get

$=2 \mathrm{x}^{2}+3 \mathrm{x}-54$

Hence simplified form of given expression (2x – 9 )( x + 6 )  is $= 2 \mathrm{x}^{2}+3 \mathrm{x}-54$