Question

factorize using appropriate identity
100-(x-2)^2

Answer 1

100 - (x² + 4 - 4x)

100 - x² - 4 + 4 x

100 - 4 + 4x - x²

- x² + 4x + 96

- x² +(12 - 8 )x + 96

- x² + 12x - 8x + 96

x(- x + 12) + 8(- x + 12)

(- x +12)(x + 8)