Question

one of the factor of (X - 2)^2 - 36​

Answer 1

Answer:

${(x - 2)}^{2} - 36 \\ \\ {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ \\ {x}^{2} - 4x + 4 - 36 \\ \\ {x}^{2} - 4x - 32 = 0 \\ \\ {x}^{2} + 8x - 4x - 32 = 0 \\ \\ ({x}^{2} + 8x) - (4x - 32) = 0 \\ \\ x(x + 8) - 4(x + 8) = 0 \\ \\ (x + 8)(x - 4) = 0 \\ \\ x = - 8 \: or \: x = 4$