Fully expand and simplify: Click Here for Help Video ( 5 𝑦^5 + 3 ) ( 5 𝑦^9 + 9 𝑦 − 4 )

Answer 1

To expand and simplify the given expression, we will use the distributive property of multiplication and combine like terms:

(5𝑦^5 + 3)(5𝑦^9 + 9𝑦 - 4)

First, distribute 5𝑦^5 to each term in the second polynomial:

= 5𝑦^5 * 5𝑦^9 + 5𝑦^5 * 9𝑦 + 5𝑦^5 * (-4) + 3 * 5𝑦^9 + 3 * 9𝑦 + 3 * (-4)

Now, simplify each of these terms:

= 25𝑦^14 + 45𝑦^6 - 20𝑦^5 + 15𝑦^9 + 27𝑦 - 12

So, the fully expanded and simplified expression is:
25𝑦^14 + 15𝑦^9 + 45𝑦^6 - 20𝑦^5 + 27𝑦 - 12