Question

answer this question ? please

Answer 1

Hey friend, Harish here.

Here is your answer:

Given,

An expression p² - 10p + 25.

Objective.

To factorize the given expression.

Solution,

Let us solve this using Splitting the middle term method,

We know that,  a + b = - 10,  & ab = 25. So, a = -5, b =-5

Then, 

$p^{2}- 10 p +25 = p^{2}-5p -5p +25.$

Now take common, Then:

⇒    $p^{2}-5p -5p +25 = p (p - 5)-5(p-5)$

⇒    $(p-5)(p-5) = (p-5)^{2}$

Therefore the expression is factorized.
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Hope  my answer is helpful to you.