Respuesta :
Given:
The expression is
[tex](2x^2+4x-7)(x-2)[/tex]
To find:
The expression which is not a correct way to rewrite the given expression.
Solution:
We have,
[tex](2x^2+4x-7)(x-2)[/tex]
Using distributive property, we get
[tex]=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)[/tex]
[tex]=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)[/tex]
Using distributive property the given expression can rewritten as:
[tex]=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)[/tex]
Only the expression in option A is not a correct way to rewrite the given expression because [tex](2x^2+4x-7)[/tex] is not distributed to [tex](x-2)[/tex] properly.
Therefore, the correct option is A.
