Question

x⁴ – 16y⁴ is equal to ______.

Options

• (x² – 4y²)²

• (x² + 4y²) (x² – 4y²)

• (x + 2y)² (x – 2y)²

• (x² + 4y²) (x + 2y) (x – 2y)

Answer 1

x⁴ – 16y⁴ is equal to (x² + 4y²) (x² – 4y²).

Explanation:

We are given x⁴ – 16y⁴

x⁴ – (4y²)²

= (x² + 4y²) (x² – 4y²)

The factorization is (x² + 4y²) (x² – 4y²)