Question

Разложить на множители: 1)4x^2-4, 2) 5t^2-20st+20s^2

Answer 1

4x^2 - 4 = 4*(x^2 - 1) = 4*(x-1)*(x+1)
5t^2 - 20st + 20s^2 = 5*( t^2 - 4st + 4s^2) = 5*(t - 2s)^2 = 5*(t-2s)*(t-2s)

Answer 2

$1)4 {x}^{2} - 4 = (2x - 2)(2x + 2) \\ 2)5 {t}^{2} - 20st + 20 {s}^{2} = {(t \sqrt{5} - s \sqrt{20)} }^{2}$