Question

What is the factored form of $3\mathrm{x}+24\mathrm{y}$?

• A. $3(\mathrm{x}+8\mathrm{y})$
• B. $3xy(x+8y)$
• C. $3(3x+24y)$
• D. $3xy(3x+24y)$

Answer 1

The correct option is A

$3(\mathrm{x}+8\mathrm{y})$

Explanation of the correct option:

$3(x+8y)=3x+24y$ which is equal to the given expression.

Hence option $A$ is correct.

Explanation of the incorrect options:

$3xy(x+8y)=3x^{2}y+24x{y}^2$ which is not equal to the given expression.

$3(3x+24y)=9x+72y$ which is not equal to the given expression.

$3xy(3x+24y)=9x^{2}y+72x{y}^2$ which is not equal to the given expression.

Hence, the correct answer is option A that is $3(\mathrm{x}+8\mathrm{y})$.