Question

Factor this polynomial expression.
x^2+ 10x + 25

Answer 1

Answer:

(x + 5)^2

Step-by-step explanation:

Learn to recognize perfect squares.  x^2+ 10x + 25 is a perfect square of a binomial:  x^2+ 10x + 25 = (x + 5)^2.

Answer 2

The polynomial expression of the equation $x^2+ 10x + 25$ is  $&(x+5)^{2}$.

What is a polynomial expression?

A polynomial exists defined as an expression that exists composed of variables, constants, and exponents, that are connected utilizing mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).

Given expression $x^2+ 10x + 25$

Rewrite in the form of $a^{2}+2 a b+b^{2}$ :

$25=5^{2}$

$10 x=2 x \cdot 5$

$=x^{2}+2 x \cdot 5+5^{2}$

Apply Perfect Square Formula:

The perfect square formula exists described in the formation of two terms such as $(a + b)^{2}$. The expansion of the perfect square formula exists represented as$(a + b)^{2} = a^{2} + 2ab + b^{2}$

$\quad a^{2}+2 a b+b^{2}=(a+b)^{2}$

$&x^{2}+2 x \cdot 5+5^{2}=(x+5)^{2}$

$&=(x+5)^{2}$

The polynomial expression of the equation $x^2+ 10x + 25$ is  $&(x+5)^{2}$.

To learn more about Polynomial expression refer to:

https://brainly.com/question/12556553

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