Question

find the value of 9x square + 4y square if xy = 6 and 3x + 2y = 12​

Answer 1

Answer:

Explanation:

We need to find the value of 9x^2+4y^2.

Given that, xy=6 and 3x+2y=12.

Now, 9x^2+4y^2

= (3x)^2+(2y)^2

= (3x+2y)^2+2×3x×2y. { APPLYING (a+b)^2-2ab=a^2+b^2}

= (12)^2+12xy

= 144+12×6

=12(12+6)

= 12×18

=216

Hence,9x^2+4y^2= 216.

HOPE THIS WILL HELP YOU.