Factor (4x^2-16x+16)m^2

$(4 x^{2} - 16 x + 16) m^{2}$

Factor $4$ out of $4 x^{2} - 16 x + 16$ .

Factor $4$ out of $4 x^{2}$ .

$(4 (x^{2}) - 16 x + 16) m^{2}$

Factor $4$ out of $- 16 x$ .

$(4 (x^{2}) + 4 (- 4 x) + 16) m^{2}$

Factor $4$ out of $16$ .

$(4 x^{2} + 4 (- 4 x) + 4 \cdot 4) m^{2}$

Factor $4$ out of $4 x^{2} + 4 (- 4 x)$ .

$(4 (x^{2} - 4 x) + 4 \cdot 4) m^{2}$

Factor $4$ out of $4 (x^{2} - 4 x) + 4 \cdot 4$ .

$4 (x^{2} - 4 x + 4) m^{2}$

Factor using the perfect square rule.

Rewrite $4$ as $2^{2}$ .

$4 (x^{2} - 4 x + 2^{2}) m^{2}$

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$4 x = 2 \cdot x \cdot 2$

Rewrite the polynomial.

$4 (x^{2} - 2 \cdot x \cdot 2 + 2^{2}) m^{2}$

Factor using the perfect square trinomial rule $a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$ , where $a = x$ and $b = 2$ .

$4 {(x - 2)}^{2} m^{2}$