fully expand the multiplication and simplify

Question

(3y^4+5)(5y^7+4)

Answer 1

Using the distributive property, we can expand the expression:

(3y^4 + 5)(5y^7 + 4)
= 3y^4 * 5y^7 + 3y^4 * 4 + 5 * 5y^7 + 5 * 4
= 15y^11 + 12y^4 + 25y^7 + 20

Now, we can simplify by combining like terms:

= 15y^11 + 25y^7 + 12y^4 + 20

So, the fully expanded and simplified form of the expression is 15y^11 + 25y^7 + 12y^4 + 20.