Question

Please help im cluelessss

Answer 1

The expression can be rewritten by combining like terms such as:

`0.25\:\left((2)/(3)y\:-\:5\:+\:(1)/(3)y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)`

Explanation:

Like term:

We know that like terms are those terms with:

• same variables

• same exponents

For example,

2x and 4x are the like terms. Both have the same variables and the same power of the variable.

Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.

Please note that the like terms may have different coefficients of the variables.

NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS

Given the expression

`0.25\:\left((2)/(3)y\:-\:5\:+\:(1)/(3)y\:-\:7\:-\:9y\right)`

Here in the parentheses:

• 2/3y, 1/3y, and 9y are like terms.

• 5 and 7 are like terms.

as

• 2/3y + 1/3y - 9y = y - 9y = -8y

• -5-7 = -12

Combining like terms in the parentheses

`0.25\:\left((2)/(3)y\:-\:5\:+\:(1)/(3)y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)`

Therefore, the expression can be rewritten by combining like terms such as:

`0.25\:\left((2)/(3)y\:-\:5\:+\:(1)/(3)y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)`