Question

Factor completely 625x8 − 1. (25x4 − 1)(25x4 1) (5x2 − 1)(5x2 1)(25x4 − 1) (5x2 − 1)(5x2 1)(5x2 1)(5x2 1) (5x2 − 1)(5x2 1)(25x4 1).

Answer 1

The complete factor of the polynomial  625x⁸ − 1 is (25x⁴ + 1)(25x⁴ − 1). Then the correct option is A.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 625x⁸ − 1.

We know that

$\rm a^2 - b^2 = (a+b)(a-b)$

(25x⁴)² − 1²

(25x⁴ + 1)(25x⁴ − 1)

The complete factor of the polynomial  625x⁸ − 1 is (25x⁴ + 1)(25x⁴ − 1). Then the correct option is A.

More about the polynomial link is given below.

brainly.com/question/17822016