Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}}}[/tex]
Option A is the correct option.
Step-by-step explanation:
[tex] \sf{(3 {x}^{2} + 2y)(5 {x}^{2} + y)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
Thenafter, Simplify
[tex] \dashrightarrow{ \sf{3 {x}^{2} (5 {x}^{2} + y) + 2y(5 {x}^{2} + y)}}[/tex]
[tex] \dashrightarrow{ \sf{15 {x}^{4} + 3 {x}^{2} y + 10 {x}^{2} y + 2 {y}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}[/tex]
Hope I helped!
Best regards! :D
