Question

Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2​

Answer 1

`\boxed{ \bold{ \boxed{ \sf{15 {x}^(4) + 13 {x}^(2) y + 2 {y}^(2) }}}}`

Option A is the correct option.

Explanation:

`\sf{(3 {x}^(2) + 2y)(5 {x}^(2) + y)}`

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

Thenafter, Simplify

`\dashrightarrow{ \sf{3 {x}^(2) (5 {x}^(2) + y) + 2y(5 {x}^(2) + y)}}`

`\dashrightarrow{ \sf{15 {x}^(4) + 3 {x}^(2) y + 10 {x}^(2) y + 2 {y}^(2) }}`

`\dashrightarrow{ \sf{15 {x}^(4) + 13 {x}^(2) y + 2 {y}^(2) }}`

Hope I helped!

Best regards! :D