Question

guided practice
lets look at another example.
example
find the lcm of two polynomial expressions.
$x^2 - 25$ and $x^2 + 10x + 25$
step 1
write the factors of each expression.
factor the first expression.
$x^2 - 25 = (x + 5)(x - 5)$
factor the second expression.
$x^2 - 25 = (x + 5)(x - 5)$
combining rational expressions
type your answer and then click or tap done.
what is the factored form of $x^2 + 10x + 25?$
$x^2 + 10x + 25 = (\quad)(\quad)$

Explanation:

Step1: Identify polynomial type

$x^2 + 10x + 25$ is a perfect square trinomial.

Step2: Apply perfect square formula

$(a + b)^2 = a^2 + 2ab + b^2$, where $a = x$, $b = 5$ (since $2ab = 2*x*5 = 10x$).

Step3: Write factored form

$x^2 + 10x + 25 = (x + 5)^2 = (x + 5)(x + 5)$

Answer:

$(x + 5)(x + 5)$