Question

given (2x+3y) = 14 and xy = 8 , find the value of 4x square + 9y square​

Answer 1

Step-by-step explanation:

given 2x+3y=14

so square on both sides

(2x+3y)^2= 14^2

4x^2+2*2x*3y+9y^2=196

4x^2+9y^2=196-2*2x*3y

4x^2+9y^2=196-12xy

4x^2+9y^2=196-12*8

4x^2+9y^2=196-96

4x^2+9y^2=100

Answer 2

Given 2x+3y =14 and xy = 8

Formula

{a+b}^2 = a^2 + b^2 +2ab

{2x+3y}^2 = 4x^2 + 9y^2 +12xy

14^2 = 4x^2 + 9y^2 +24

196 = 4x^2 + 9y^2 +24

196 - 24 = 4x^2 + 9y^2

4x^2 + 9y^2 = 172