Question

What is a simpler form of the following expressions?

(7p -8)(7p + 8)
A. 49p^2 + 112p + 64
B. 49p^2 - 112p - 64
C. 49p^2 + 64
D. 49p^2 - 64

Answer 1

D. 49p² - 64

Explanation:

(7p - 8)(7p + 8)

Solving this requires the 'difference of squares' concept which states;

If (a - b)(a + b)

Then the solution must be a² - b²

Considering (7p - 8)(7p + 8) then the answer is;

(7p)² - 8² = 49p² - 64