Answer:
Simplified form of given expression (2x – 9 )( x + 6 ) is [tex]2 \mathrm{x}^{2}+3 \mathrm{x}-54[/tex]
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
[tex]=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54[/tex]
On simplification, we get
[tex]=2 \mathrm{x}^{2}+3 \mathrm{x}-54[/tex]
Hence simplified form of given expression (2x – 9 )( x + 6 ) is [tex]= 2 \mathrm{x}^{2}+3 \mathrm{x}-54[/tex]
