Question

evaluate 2x+3y=8,xy=2​

Answer 1

Answer:

4x^2+9y^2=40

step-by-step explanation

2x+3y=8,xy=2

(a+b)^2=a^2+b^2+2ab

sqauring on both sides

(2x+3y)^2= (8)^2

4x^2+9y^2+12xy=64

4x^2+9y^2+12×2=64

4x^2+9y^2+24=64

4x^2+9y^2=64-24

4x^2+9y^2=40

Answer 2

Answer:

40.

Given:

2x + 3y and xy =2

Formula:

(a + b)^2 = a^2 + b^2 + 2Ab

step by step explanation:

=(2x + 3y)^2 = 4x^2 + 9y^2 + 2 (2x)(3y)

=(2x + 3x)^2 = 4x^2 + 9y^2 + 12xy

=8^2 = 4x^2 + 9y^2 + 12(2)

. °. 4x + 9y = 64 - 24

=40...