solve If the expression 4y2+94x2-6xy is written as (Ay-B)2, then the respective values of A and B - Maths - Rational Numbers

Question

solve

I f   t h e   e x p r e s s i o n   4 y 2 + 9 4 x 2
- 6 x y   i s   w r i t t e n   a s   ( A y - B
) 2 ,   t h e n   t h e   r e s p e c t i v e  
v a l u e s   o f   A   a n d   B   a r e
A )   4   a n d   9 4 x B )   4   a n d
  - 9 4 x   C )   2   a n d   3 2 x D )
  2   a n d   - 3 2 x

Lovina Kansal · Accepted Answer

Dear student
4y2+94x2-6xy=2y2+3x22-22y3x2=2y-3x22   ∵a2+b2-2ab=a-b2So, On comparing 2y-3x22 with Ay-B2, we getA=2 and B=3x2
Regards

solve I f t h e e x p r e s s i o n 4 y 2 + 9 4 x 2 - 6 x y i s w r i t t e n a s ( A y - B ) 2 , t h e n t h e r e s p e c t i v e v a l u e s o f A a n d B a r e A ) 4 a n d 9 4 x B ) 4 a n d - 9 4 x C ) 2 a n d 3 2 x D ) 2 a n d - 3 2 x

solve

$I f t h e e x p r e s s i o n 4 y^{2} + \frac{9}{4} x^{2} - 6 x y i s w r i t t e n a s (A y - B)^{2}, t h e n t h e r e s p e c t i v e v a l u e s o f A a n d B a r e A) 4 a n d \frac{9}{4} x B) 4 a n d - \frac{9}{4} x C) 2 a n d \frac{3}{2} x D) 2 a n d - \frac{3}{2} x$