Question

Find the missing value: Click Here for Help Video − 10 𝑦^8 ( 9 𝑦^8 + ? + 3 𝑦^4 ) = − 90 𝑦^16 − 20 𝑦^13 − 30 𝑦^12

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the missing value, we can first distribute the -10y^8 into the parentheses on the left side of the equation:

- 10y^8 * 9y^8 = -90y^16
- 10y^8 * ? = - 10y^8 * ?
- 10y^8 * 3y^4 = -30y^12

So now the equation looks like this:

-90y^16 - 10y^8 * ? -30y^12 = - 90y^16 − 20y^13 − 30y^12

Since the coefficients of the y^12 term are already matching on both sides of the equation, we can focus on the y^13 terms. The y^13 term on the right side is -20y^13. This means that the missing value in the parentheses on the left side must produce a y^13 term when multiplied by -10y^8.

The missing value that would produce a -20y^13 term when multiplied by -10y^8 is 2y^5.

Therefore, the missing value is 2y^5.