Expanding the given expression:
(3k - 4p)² - (-5k + 4p)(4p + 5k) + 24pk= (3k - 4p)(3k - 4p) - (-5k + 4p)(4p + 5k) + 24pk= 9k² - 12pk - 12pk + 16p² - (-20kp - 16p² + 20kp) + 24pk= 9k² - 24pk + 16p² + 20kp + 16p² + 24pk= 9k² + 32p² + 44kp
Therefore, the simplified form of the expression is 9k² + 32p² + 44kp.
Expanding the given expression:
(3k - 4p)² - (-5k + 4p)(4p + 5k) + 24pk
= (3k - 4p)(3k - 4p) - (-5k + 4p)(4p + 5k) + 24pk
= 9k² - 12pk - 12pk + 16p² - (-20kp - 16p² + 20kp) + 24pk
= 9k² - 24pk + 16p² + 20kp + 16p² + 24pk
= 9k² + 32p² + 44kp
Therefore, the simplified form of the expression is 9k² + 32p² + 44kp.