Respuesta :

Answer:

[tex]10c-4d[/tex]

Step-by-step explanation:

The given expression is [tex]3c-9d+7c+5d[/tex]

First of all we make groups of like terms as shown below.

[tex](3c+7c)+(-9d+5d)[/tex]

Now, we combine the like terms.

[tex](3+7)c+(-9+5)d[/tex]

On simplifying, we get

[tex]10c-4d[/tex]

Therefore, the simplified expression is [tex]10c-4d[/tex]

The algebraic term, after simplify the provided expression, which is 3c - 9d + 7c + 5d, is 10c-4d.

What is algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

The equation which has to be simplify is,

[tex]3c - 9d + 7c + 5d[/tex]

Let the resultant expression after the simplification of the above equation  is n. Thus,

[tex]n=3c - 9d + 7c + 5d[/tex]

As the terms with same variables can be added or substracted. Thus arrange the above euquation with same terms,

[tex]n=3c +7c- 9d + 5d[/tex]

Now add or substract the same term variable,

[tex]n=3c +7c- 9d + 5d\\n=10c-4d[/tex]

Hence, the algebraic term, after simplify the provided expression 3c - 9d + 7c + 5d is 10c-4d.

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