Question

Which expression is equivalent to (m−2n−4)−4?

A. m⁸n¹⁶
B. m−8n−16
C. m−6n−8
D. 1/m⁶n⁸​

Answer 1

The equivalent expression to (m−2n−4)−4 is C. m−6n−8, which is achieved by distributing the subtraction over each term and subtracting the additional 4 at the end.

Step-by-step explanation:

The question asks which expression is equivalent to (m−2n−4)−4. To find the equivalent expression, we need to distribute the subtraction over each term in the parentheses.

Step 1: Apply subtraction to each term inside the parentheses:

• (m) - 1×(m) = m
• (-2n) - 1×(-2n) = -2n
• (-4) - 1×(-4) = -4

Step 2: Subtract the additional 4 from the result of step 1:

• m - (2n) - 4 - 4
• m - 2n - 8

The correct answer is m−6n−8, which corresponds to option C.