Question

Identify the polynomial that is the difference of two squares.

A. 25m2 − 16n
B. 49m2 − 81n4
C. 36m2 − 8n8
D. 9m2 − 5n6

Answer 1

Option B,
`49m^2 - 81n^4`

Explanation:

Step 1: Determine the difference of two squares

According to online, "In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra." a^2 - b^2 gives us (a + b)(a - b)

The only one that would work is Option B so lets factor it out.

`49m^2 - 81n^4`

`(7m + 9n^2)(7m - 9n^2)`

Answer: Option B,
`49m^2 - 81n^4`