Answer
$20x^{2}+23xy+6y^{2}$
Work Step by Step
We are given the expression $(5x+2y)(4x+3y)$. We can find the product of this expression using the FOIL method.
First terms: $5x\times 4x=20x^{2}$
Outer terms: $5x\times3y=15xy$
Inner terms: $2y\times 4x=8xy$
Last terms: $2y\times3y=6y^{2}$
Adding together: $20x^{2}+15xy+8xy+6y^{2}=20x^{2}+23xy+6y^{2}$
