Select the expression that is equivalent to
A.
B.
C.
D.

Ask by Patel Sanders. in the United States

Jan 23,2025

Question

Select the expression that is equivalent to $$ (x+5)^{2} $$ A. $$ x^{2}+5 x+25 $$ B. $$ x^{2}+10 x^{2}+25 $$ C. $$ x^{2}+10 x+25 $$ D. $$ 2 x^{2}+10 x+25 $$

UpStudy AI · Accepted Answer

To find the expression equivalent to $$ (x+5)^2 $$, let's expand the square:

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

Using the distributive property (FOIL method):

$$
= x \cdot x + x \cdot 5 + 5 \cdot x + 5 \cdot 5
$$
$$
= x^2 + 5x + 5x + 25
$$
$$
= x^2 + 10x + 25
$$

So, the equivalent expression is:

**C. $$ x^{2} + 10x + 25 $$**

**Answer:**  
C. $$ x^{2}+10 x+25 $$
The equivalent expression is $$ x^{2} + 10x + 25 $$, which is option C.

Select the expression that is equivalent to
A.
B.
C.
D.

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