If 3√3x3- 2√2y3 = (√3x - √2y)(Ax2 + Cy2 - Bxy), then the value of (A2 + B2 + C2) is:
Show answer & explanation
Correct answer: D
Explanation
Correct answer is option 4 i.e 19
3√3x3- 2√2y3= (√3x - √2y)(Ax2 + Cy2 - Bxy)
3√3x3- 2√2y3 = √3Ax3 - √3Bx2y + √3Cxy2 - √2Ax2y + √2Bxy2 - √2Cy3
Comparing the coefficient:
A = 3 and C = 2
-√3 B – √2 A = 0
⇒ B = -√6
Hence, (A2 + B2 + C2) = (9 + 6 + 4) = 19
Correct Answer is option 4 i.e. 19