Question

4n^2 - 25

1. Are there any common factors?

2. The expression is the _____ of two squares

3. So, the factored form is the _____ of the square roots times the ______ of the square roots

Answer 1

1. No.

2. Difference of two squares.

3. "sum", "subtraction".

Explanation:

The original expression: 4n² - 25

1. Are there any common factors?

No, since there isn't a number or variable that can divide both parts at the same time.

2. The expression is the difference of two squares.

3. So the factored form is the sum of the square roots times the subtraction of the square roots. (2n + 5)*(2n - 5)