Question

Which of the following expressions is not an equivalent expression of $24a–18b+36?$

• A. $4(9–4b+6a)$
• B. $6(6–3b+4a)$
• C. $2(18–9b+12a)$
• D. $3(12–6b+8a)$

Answer 1

The correct option is A $4(9–4b+6a)$

To simplify the expression, multiply each term in the parentheses by the term outside the parentheses.

A. $3(12–6b+8a)=3\times 12–3\times 6b+3\times 8a=36–18b+24a$
B. $6(6–3b+4a)=6\times 6–3\times b+4\times a=36–18b+24a$
C. $2(18–9b+12a)=2\times 18–2\times 9b+2\times 12a=36–18b+24a$
D. $4(9–4b+6a)=4\times 9–4\times 4b+4\times 6a=36–16b+24a$
So, option D will not give the expression $24a–18b+36$.