Question

(x2- 2x)2 - 11(x2- 2x) + 24​

Answer 1

Solution:

(x² - 2x)² - 11 ( x² - 2x ) + 24

x⁴ + 4x² - 2.x².2x - 11 ( x² - 2x ) + 24

x⁴ + 4x² - 4x³ - 11x² + 22x + 24

x⁴ + 4x² - 11x² - 4x³ + 22x + 24

x⁴ - 7x² - 4x³ + 22x + 24

x⁴ - 4x³ - 7x² + 22x + 24

Answer: x⁴ - 4x³ - 7x² + 22x + 24

Identities Used:

☞ ( a + b)² = a² + b² + 2ab

☞ ( a - b)² = a² + b² - 2ab