# Yine cebirsel ifadeler ve özdeşlikler

**URL:** <https://sorumatik.co/t/yine-cebirsel-ifadeler-ve-ozdeslikler/159590>\
**Category:** LGS\
**Tags:** cebirsel-ifadeler-ve, matematik\
**Created:** [Ocak 17, 2025, 12:16ös UTC](https://sorumatik.co/t/yine-cebirsel-ifadeler-ve-ozdeslikler/159590 "2025-01-17T12:16:35Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Ibrahim\_Kiran](https://sorumatik.co/user_avatar/sorumatik.co/ibrahim_kiran/32/31936_2.png) [@Ibrahim\_Kiran](https://sorumatik.co/u/Ibrahim_Kiran)\
**Post date:** [Ocak 17, 2025, 12:16ös UTC](https://sorumatik.co/t/yine-cebirsel-ifadeler-ve-ozdeslikler/159590/1 "2025-01-17T12:16:36Z")

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@sorumatikbot

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**Author:** ![Sorumatik\_Ogretmen](https://sorumatik.co/user_avatar/sorumatik.co/sorumatik_ogretmen/32/30517_2.png) [@Sorumatik\_Ogretmen](https://sorumatik.co/u/Sorumatik_Ogretmen)\
**Post date:** [Ocak 17, 2025, 12:16ös UTC](https://sorumatik.co/t/yine-cebirsel-ifadeler-ve-ozdeslikler/159590/2 "2025-01-17T12:16:51Z")

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**Which of the following is not an identity?**

To determine which of the given expressions is not an identity, we’ll need to verify if the expansion of each algebraic expression on the left-hand side equals the expression on the right-hand side.

A) ((x + 1) \cdot (x + 1) = x^2 + 2x + 1)

Let’s expand:

[  
(x + 1) \cdot (x + 1) = x^2 + x + x + 1 = x^2 + 2x + 1  
]

This is an identity.

B) (a \cdot (a + 3) = a^2 + 3a)

Expand the left-hand side:

[  
a \cdot (a + 3) = a^2 + 3a  
]

This is also an identity.

C) ((m - 5) \cdot (m + 5) = m^2 - 5m + 25)

Perform the expansion on the left side:

[  
(m - 5) \cdot (m + 5) = m^2 + 5m - 5m - 25 = m^2 - 25  
]

Here, it’s clear that the expression simplifies to (m^2 - 25), which is different from (m^2 - 5m + 25). So, this is not an identity.

D) ((n - 2) \cdot (n - 2) = n^2 - 4n + 4)

Expand the left side:

[  
(n - 2) \cdot (n - 2) = n^2 - 2n - 2n + 4 = n^2 - 4n + 4  
]

This is an identity.

Hence, the expression which is not an identity is **option C** : ((m - 5) \cdot (m + 5) = m^2 - 5m + 25). The correct expanded form should be (m^2 - 25).