Factors of the following expression will be :
(x² − 6xy + 9y²) − 16निम्न व्यंजक का गुणनखण्ड होगा :
(x² − 6xy + 9y²) − 16

1. A(x − 4)(x + 4)
2. B(x − y − 4)(x − y + 4)
3. C(x − 3y + 4)(x − 3y − 4)
4. D(x + 3y − 4)(x + 3y + 4)

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. (x − 3y + 4)(x − 3y − 4)

Explanation

x² − 6xy + 9y² = (x − 3y)². So the expression = (x − 3y)² − 4² = (x − 3y − 4)(x − 3y + 4), which is option 3.x² − 6xy + 9y² = (x − 3y)²। अतः व्यंजक = (x − 3y)² − 4² = (x − 3y − 4)(x − 3y + 4), जो विकल्प 3 है।