Question

Which of the following is equivalent to (32mn² + 24mºn) - (18mn? – 12m'n + 16)?

A) 14mn² + 12mºn + 32
B) 14mn² + 12mºn - 32
C) 14mn² + 12mºn - 16
D) 14mn² + 12mºn + 16

Answer 1

To simplify the expression (32mn² + 24mºn) - (18mn? – 12m'n + 16), combine the like terms and simplify to get 14mn² + 12mºn - 16.

Step-by-step explanation:

To simplify the expression (32mn² + 24mºn) - (18mn? – 12m'n + 16), we can combine like terms by adding or subtracting the coefficients of the same variables. The variables in this expression are m and n. So, let's simplify:

32mn² + 24mºn - 18mn? + 12m'n - 16

We can combine the terms with the same variables and simplify:

(32mn² - 18mn) + (24mºn + 12m'n) - 16

Now, we can simplify further by combining the like terms:

14mn² + 12mºn - 16

Therefore, the equivalent expression is 14mn² + 12mºn - 16, which corresponds to option C).