Question

Which of the following expressions is not an equivalent expression of $4(5–2p+3q)?$

• A. $8p–12q+20$
• B. $12q–8p+20$
• C. $20–8p+12q$
• D. $–8p+12q+20$

Answer 1

The correct option is A $8p–12q+20$

To simplify the expression, multiply each term in the parentheses by 4.
$4(5–2p+3q)=4\times 5–4\times 2p+4\times 3q=20–8p+12q$
The coefficient of $p$ is $-8$, the coefficient of $q$ is 12, and the constant term is 20.
Option A, C, and D are expressions with the same terms.
In option B, the coefficient of $p$ is $8$, the coefficient of $q$ is $–12$.
$8p–12q+20\ne 20–8p+12q$
So, option B is the correct answer.