Question

The side of a square is 4 less than twice x squared. What’s the simplified expression for the area of the square?

Answer 1

The simplified expression for the area of the stated square is A (x) = (2x² - 4)²

Explanation:

To solve this problem first you need to think about the realationtship beetwen Area and side of a square. Then Area = (side)².

Here we have that side is equal to 2x² - 4. Then A(x) = (2x² - 4)² which is the expression of a square of a binomial. Then A(x) = 4x^4 - 16x² + 16. If you look at this two expressions, the first one is the simplified one. So,

A(x) = (2x² - 4)²