Question

find the missing value

-3y^8 (9y^8 + ? + 8y^4) = -27y^16 - 12y^14 - 24y^12

Answer 1

To find the missing value, we need to expand the left side of the equation and then compare it to the right side of the equation to identify the missing term.

Expanding the left side of the equation:

-3y^8 (9y^8 + ? + 8y^4) = -27y^16 - 3y^8 * ? - 24y^12

We can distribute the -3y^8 to each term inside the parentheses:

-27y^16 - 3y^8 * ? - 24y^12 = -27y^16 - 27y^8 - 24y^12

Now, comparing the expanded left side to the right side of the equation:

-27y^16 - 27y^8 - 24y^12 = -27y^16 - 12y^14 - 24y^12

By comparing the coefficients of each term on both sides, we can see that the missing value is 9. Therefore, the missing term is 9y^8:

-3y^8 (9y^8 + 9 + 8y^4) = -27y^16 - 12y^14 - 24y^12