Question

Which is not a correct way to rewrite this expression using the distributive property?

(4x2 + 3x – 7)(x – 2)

A.
(4x2 + 3x – 7)(x) + (4x2 + 3x – 7)(–2)
B.
(4x2)(x) + (4x2)(–2) + (3x)(x) + (3x)(–2) + (–7)(x) + (–7)(–2)
C.
(4x2)(x – 2) + (3x)(x – 2) + (–7)(x – 2)
D.
(4x2 + 3x – 7)(x) + (4x2 + 3x – 7)(x – 2)

Answer 1

Opt D.

Explanation:

That is because in this step we are not performing any distributive property,

We are perfoming another operation, you'd realize when you see what is been multiplying, on one hand you have (4x2 + 3x – 7)(x) which should be cool for the distributive property from (4x2 + 3x – 7)(x – 2) , but on the other you have the same product (4x2 + 3x – 7)(x – 2). Hence this in the only option that is not performing a distributive