Question

Factor 0.04m² - n².

Options:
A) (0.2m + n)(0.2m - n)
B) (0.4m + n)(0.4m - n)
C) (0.2m + 0.2n)(0.2m - 0.2n)
D) (0.4m + 0.4n)(0.4m - 0.4n)

Answer 1

To factor the expression 0.04m² - n², we use the difference of squares formula to get (0.2m + n)(0.2m - n), which corresponds to Option A. The correct option is(A).

Step-by-step explanation:

The student is asking to factor the expression 0.04m² - n². This is a difference of squares, a special factoring case where the formula is a² - b² = (a + b)(a - b). To apply this to the given expression, identify the square roots of each term:

• The square root of 0.04m² is 0.2m.
• Similarly, the square root of n² is n.

Applying the difference of squares formula, we get:

(0.2m + n)(0.2m - n)

the correct answer is Option A.