Simplify (3x−2y) (3x+2y) (9x2+4y2)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 81x4 − 16y4.
(3x − 2y)(3x + 2y) = (3x)2 − (2y)2 = 9x2 − 4y2
(9x2 − 4y2)(9x2 + 4y2) = (9x2)2 − (4y2)2 = 81x4 − 16y4
SSC CHSL - 17 Aug 2023 - Shift 2 • Quantitative Aptitude • Q74
Simplify (3x−2y) (3x+2y) (9x2+4y2)
Correct answer: D
Explanation
The correct answer is option 4 i.e. 81x4 − 16y4.
(3x − 2y)(3x + 2y) = (3x)2 − (2y)2 = 9x2 − 4y2
(9x2 − 4y2)(9x2 + 4y2) = (9x2)2 − (4y2)2 = 81x4 − 16y4