Answer:
is equivalent to
and
![5.9x+(-2.6x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y0uhobfjms1znp9zed9ucj4b546opfl67u.png)
is equivalent to
and
.
The expressions which are equivalent to neither:
and
![5.9x-(-2.6x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/notbn5x3dpnpd4svzrux9o97oniveh22bg.png)
Explanation:
Given the expressions:
1)
![-2.6x-(-5.9x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/i165dymwy4hq2piztj7tolj409ofmq0o75.png)
2)
![-2.6x+(-5.9x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/modci8pkdrmh0aw93ofidvam9pguzn3ylc.png)
To find:
The expressions equivalent to the given expressions.
or the expressions which are not equivalent to any of the given expressions.
Solution:
First of all, let us solve the brackets from the given expressions.
can be written as
(because when we multiply a negative sign with negative, it becomes positive.)
Similarly
can be written as
(because when we multiply a positive sign with negative, it becomes negative.)
Therefore, the answer is:
is equivalent to
and
![5.9x+(-2.6x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y0uhobfjms1znp9zed9ucj4b546opfl67u.png)
is equivalent to
and
.
The expressions which are equivalent to neither:
and
![5.9x-(-2.6x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/notbn5x3dpnpd4svzrux9o97oniveh22bg.png)