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Which is not a correct way to rewrite this expression using the distributive
property?
(2x2 + 4x - 7)(x - 2)

A. (2x2 + 4 – 7)(x) + (2x2 + 4x - 7)(x - 2)
B. (2x2)(x) + (2x2)(-2) + (4x)(x) + (4x)(-2) + (-7)(x) + (-7)(-2)
C. (2x2)(x - 2) + (4x)(x - 2) + (-7)(x - 2)
D. (2x2 + 4x - 7)(x) + (2x2 + 4x - 7)(-2)


Sagot :

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.

Answer:

A

Step-by-step explanation: