Answer:
The correct option is A.
Step-by-step explanation:
The given expression is
![(4x^2+3x-7)(x-2)](https://tex.z-dn.net/?f=%284x%5E2%2B3x-7%29%28x-2%29)
If a ,b, c are three real number, then by distributive property,
![a(b+c)\Leftrightarrow ab+ac](https://tex.z-dn.net/?f=a%28b%2Bc%29%5CLeftrightarrow%20ab%2Bac)
Using distributive property, then given expression can be written as
![(4x^2+3x-7)(x)+(4x^2+3x-7)(-2)](https://tex.z-dn.net/?f=%284x%5E2%2B3x-7%29%28x%29%2B%284x%5E2%2B3x-7%29%28-2%29)
Option A is not a correct way to rewrite the given expression and option C represents a correct way to rewrite the given expression.
Using distributive property, then given expression can be written as
![(4x^2)(x-2)+(3x)(x-2)+(-7)(x-2)](https://tex.z-dn.net/?f=%284x%5E2%29%28x-2%29%2B%283x%29%28x-2%29%2B%28-7%29%28x-2%29)
Option D represents a correct way to rewrite the given expression.
Again using distributive property in the above expression, we get
![(4x^2)(x)+(4x^2)(-2)+(3x)(x)+(3x)(-2)+(-7)(x)+(-7)(-2)](https://tex.z-dn.net/?f=%284x%5E2%29%28x%29%2B%284x%5E2%29%28-2%29%2B%283x%29%28x%29%2B%283x%29%28-2%29%2B%28-7%29%28x%29%2B%28-7%29%28-2%29)
Option B represents a correct way to rewrite the given expression.
Therefore the correct option is A.