The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
<h3>What is the product?</h3>
Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
![p=a\times b](https://tex.z-dn.net/?f=p%3Da%5Ctimes%20b)
Here, (<em>a, b</em>) are the real numbers.
The binomial equation given in the problem is,
![a+ 3](https://tex.z-dn.net/?f=a%2B%203)
The second equation given in the problem is,
![-2a^2 +15a+ 6b^2](https://tex.z-dn.net/?f=-2a%5E2%20%2B15a%2B%206b%5E2)
The product of these two equations are,
![p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2](https://tex.z-dn.net/?f=p%3D%28a%2B3%29%5Ctimes%20%28-2a%5E2%20%2B15a%2B%206b%5E2%29%5C%5Cp%3D-2a%5E3%2B15a%5E2%2B6ab%5E2-6a%5E2%2B45a%2B18b%5E2%5C%5Cp%3D-2a%5E3%2B9a%5E2%2B45a%2B6ab%5E2%2B18b%5E2)
Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
Learn more about the product here;
brainly.com/question/10005040