Fully expand and simplify

Question

(3y^10+2)(2y^2+9)

Answer 1

To fully expand and simplify the expression (3y^10 + 2)(2y^2 + 9), we will use the distributive property:

First, distribute 3y^10 to both terms in the second parentheses:
3y^10 * 2y^2 + 3y^10 * 9

This gives us:
6y^12 + 27y^10

Next, distribute 2 to both terms in the second parentheses:
2 * 2y^2 + 2 * 9

This gives us:
4y^2 + 18

Now, add the two results together:
6y^12 + 27y^10 + 4y^2 + 18

Therefore, the simplified expression is:
6y^12 + 27y^10 + 4y^2 + 18