Question

Which expression is equivalent to 16^2 − 36? (Explain)

A. 4(2 − 3)(2 − 3)
B. 4(2 + 3)(2 − 3)
C. (4 − 6)(4 − 6)
D. (4 + 6)(4 + 6)

Answer 1

4(2x-3)(2x + 3)

Explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

= 4(2x-3)(2x+ 3)