If x−2=13, then what is the value of x2−4x+4?

169

Step-by-step explanation:

x−2=13

First find the value of x

x-2+2 = 13+2

x = 15

Now substitute into the expression

x^2 -4x+4

15^2 -4*15+4

225 - 60+4

165+4

169

Given:

x - 2 = 13

x = 15

Put x = 15:

x² - 4x + 4

( x - 2)²

= (15 - 2)²

= 13²

= 169