Question

Factors of 9x² – 16y² are ______.

Options

• (3x – 4y) (3x – 4y)

• (4x – 3y) (4x + 3y)

• (3x + 4y) (3x – 4y)

• (4x + 3y) (4x + 3y)

Answer 1

Factors of 9x² – 16y² are (3x + 4y) (3x – 4y).

Explanation:

The expression 9x² – 16y² is a difference of squares, which follows the identity:

 a² – b² = (a + b)(a – b)

Here, a = 3x and b = 4y. 

Applying the formula:

9x² – 16y² = (3x)² – (4y)²

9x² – 16y² = (3x + 4y)(3x – 4y)