Question

Is c^2 - 6c +9 a perfect square?

Answer 1

Answer:(c-3)(c-3) yes

Step-by-step explanation:

C²-6c-9

(c²-3c-)(3c+9)

c(c-3)-3(c-3)

(c-3)(c-3)

Answer 2

Step-by-step explanation:

${c}^{2} - 6c + 9 \\ = {c}^{2} - 2 \times 3 \times c + {3}^{2} \\ = (c - 3)^{2}$

Therefore, $c^2 - 6c +9$ is a perfect square.