#### Answer

62

#### Work Step by Step

Given 4$x^{2}$ +3xy +2$y^{2}$, x=3, y=2
Step 1: Put the value of x=3 and y=2 for each x and y in the expression
=4$(3)^{2}$ +3(3)(2) +2$(2)^{2}$
Step 2: Evaluate the exponential expression$(3)^{2}$ = (3)(3) = 9
$(2)^{2}$ = (2)(2) = 4
=4(9)+3(3)(2)+2(4)
Step 3: Multiply 4(9) = 36, 3(3)(2) = 18, 2(4) = 8
= 36+18+8
Step 4: Add and Subtract from left to right
first add 36+18
54+8= 62