Which quadratic equation is equivalent to (x-2) ^2+5 (x+2) - 6=0

x² + x + 8 = 0

Step-by-step explanation:

Given

(x - 2) ² + 5 (x + 2) - 6 = 0 ← expand (x - 2) ² and distribute parenthesis by 5

x² - 4x + 4 + 5x + 10 - 6 = 0 ← collect like terms on left side

x² + x + 8 = 0 ← equivalent quadratic equation

x² + x + 8 = 0

Step-by-step explanation:

(x-2) ^2 + 5 (x+2) - 6=0 { (a-b) ² = a² - 2ab + b²; here a = x & b = 2}

x² - 2*x*2 + 2² + 5 x + 10 - 6 = 0

x² - 4x + 4 + 5x + 10 - 6 = 0

x² + x + 4 + 10 - 6 = 0

x² + x + 8 = 0