Question

Place the indicated product in the proper location on the grid. Include in your answer the zero to the left of the decimal. (x+0.2)(x−0.2)

a) x^2−0.04
b) x^2+0.04
c) x^2 −0.4
d) x^2+0.2

Answer 1

After using the FOIL method or recognizing the pattern as a difference of squares, the product of (x+0.2)(x-0.2) simplifies to x² - 0.04, making the correct answer a) x² - 0.04.

Step-by-step explanation:

The question asks us to multiply two binomials: (x+0.2)(x−0.2) and identify the correct product. To solve this, we can use the FOIL method (First, Outer, Inner, Last) or recognize that this is a difference of squares. We get:

x² + (0.2)x - (0.2)x - (0.2)(0.2)

The middle terms cancel each other out, and what we're left with is:

x² - 0.04

Therefore, the correct answer is a) x² - 0.04.