Question

−6t2(2t16−3k)+5(4t18−2k)

Answer 1

- 6t²(2t¹⁶ - 3k) + 5(4t¹⁸ - 2k) = - 6t² * 2t¹⁶ + 6t² * 3k + 5 * 4t¹⁸ - 5 * 2k =

= - 12t²⁺¹⁶ + 18kt² + 20t¹⁸ - 10k = - 12t¹⁸ + 18kt² + 20t¹⁸ - 10k =

= 8t¹⁸ + 18kt² - 10k

Answer 2

-6t² · ( 2(t⁸)² - 3k) + 5(4(t⁹)² - 2k) = -12t¹⁸- 18t²k +20t¹⁸ - 10k = 2t¹⁸ - 18t²k - 10k

Answer 3

To simplify the expression, let's combine like terms:

Expression: -6t^2(2t^16 - 3k) + 5(4t^18 - 2k)

Step 1: Distribute the -6t^2 and 5 into their respective parentheses:

-6t^2 * 2t^16 + 6t^2 * 3k + 5 * 4t^18 - 5 * 2k

Step 2: Simplify each term:

-12t^18 + 18t^2k + 20t^18 - 10k

Step 3: Combine like terms:

(-12t^18 + 20t^18) + 18t^2k - 10k

Step 4: Combine the t^18 terms:

8t^18 + 18t^2k - 10k

The simplified expression is:

8t^18 + 18t^2k - 10k