Q:

What is the product of a+3 and -2a2+15a+6b2 ? -2a3+9a2+45a+24b2 -2a3+21a2+45a+24b2 -2a3+9a2+45a+6ab2+18b2 -2a3+21a2+45a+6ab2+18b2

What is the product of a+3 and -2a2+15a+6b2 ? -2a3+9a2+45a+24b2 -2a3+21a2+45a+24b2 -2a3+9a2+45a+6ab2+18b2 -2a3+21a2+45a+6ab2+18b2

Accepted Solution

A:
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.What is the product?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,[tex]p=a\times b[/tex]Here, (a, b) are the real numbers.The binomial equation given in the problem is,[tex]a+ 3[/tex]The second equation given in the problem is,[tex]-2a^2 +15a+ 6b^2[/tex]The product of these two equations are,[tex]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[/tex]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; What is the product of a+3 and -2a2+15a+6b2 ? -2a3+9a2+45a+24b2 -2a3+21a2+45a+24b2 -2a3+9a2+45a+6ab2+18b2 -2a3+21a2+45a+6ab2+18b2 65105e8832cee.webp