Factor perfect squares and differences of squares. factor. x^2-4x+4

(x - 2)²

Step-by-step explanation:

We know an equation in standard form ax²+bx+c is a perfect square if:

± [2*√(ax²)*√(c)] = bx

Test for : x²-4x+4

± [2*√(ax²)*√(c)] = bx

± [2*√(x²)*√(4)] = -4x

± [2*x*2] = -4x

-4x = -4x

Therefore this trinomial is a perfect square.

To factor:

(√(ax²) ± √(c))²

± depends on if the sign before the "b" value is positive or negative.

In x²-4x+4, it's negative.

x²-4x+4

= (√(ax²) ± √(c))²

= (x - 2)²

correct

step-by-step explanation: