Question

question 3 (1 point)
factor the perfect square trinomial:
x² + 10x + 25

a. (x)² - (5)²
b. (x + 5)²
c. (x - 5)²
d. (5x + 5)²

a d
b c
c a
d b

Explanation:

Step1: Recall perfect square formula

A perfect square trinomial follows $x^2-2ax+a^2=(x-a)^2$.

Step2: Match to given trinomial

For $x^2-10x+25$, $2a=10 \implies a=5$, and $a^2=25$.

Step3: Apply the formula

Substitute $a=5$ into $(x-a)^2$.

Answer:

C. $(x-5)^2$