To find the product of (2x³ +9) and (x³ +7), we can use the distributive property of multiplication.
Firstly, let's write down the two expressions:
2x³ +9
x³ +7
Now, we will multiply each term in the first expression by each term in the second expression, and then combine like terms.
(2x³ +9)(x³ +7) = 2x³ * x³ + 2x³ * 7 + 9 * x³ + 9 * 7
Simplifying, we get:
2x⁶ + 14x³ + 9 * x³ + 63
Combining like terms, we get:
2x⁶ + 23x³ + 63
Therefore, the product of (2x³ +9) and (x³ +7) is 2x⁶ + 23x³ + 63.