Combine Like Terms 3xy%5E3(9x%5E3y%5E2-8)

Publish date: 2024-04-23
Combine Like Terms 3xy%5E3(9x%5E3y%5E2-8) MathCelebrity logo Image to Crop

Enter Terms

Combine like terms for:

3xy%5E3(9x%5E3y%5E2 - 8)

Simplify by removing parentheses
Simplify 3(9x%5E3y%5E2 - 8):
Distribute the 3 to each term in (9x%5E3y%5E2-8)
3 * 9x%5E3y%5E2 = (3 * 9) = 27xy
3 * -8 = (3 * -8) = -24
Our Total expanded term is 27xy-24

Our new term is
3xy%5E27xy - 24

Evaluate the xy terms:

3xy  ← There is only one xy term

Evaluate the x terms:

27x  ← There is only one x term

Evaluate the y terms:

y  ← There is only one y term

Evaluate the constants:

-24  ← There is only one constant

Combine like terms

3xy + 27 + 1 - 24

Analyze the 4 terms of the polynomial 3xy + 27 + 1 - 24

Analyze Term 1

Term 1 is 3x

Our coefficient/constant is 3
Our variable is the letter which is x
No exponent exists for this term

Analyze Term 2

Term 2 is 27

Our coefficient/constant is 27
This term has no variable, so it is a constant
No exponent exists for this term

Analyze Term 3

Term 3 is

Since there is no coefficient
our coefficient is 1
This term has no variable, so it is a constant
No exponent exists for this term

Analyze Term 4

Term 4 is -24

Our coefficient/constant is -24
This term has no variable, so it is a constant
No exponent exists for this term

Determine the Degree of the Polynomial:

What is the Answer?

Our coefficient/constant is 3
Our variable is the letter which is x
No exponent exists for this term
Our coefficient/constant is 27
This term has no variable, so it is a constant
No exponent exists for this term
Since there is no coefficient
our coefficient is 1
This term has no variable, so it is a constant
No exponent exists for this term
Our coefficient/constant is -24
This term has no variable, so it is a constant
No exponent exists for this term

How does the Polynomial Calculator work?

Free Polynomial Calculator - This calculator will take an expression without division signs and combine like terms.
It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.
This calculator has 1 input.

What 2 formulas are used for the Polynomial Calculator?

For cxn, we have c as our constant, x as our variable, n as our exponent.
Variables can be any letter but e or i.

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Polynomial Calculator?

constanta value that always assumes the same value independent of how its parameters are variedexponentThe power to raise a numberexpressionfinite combination of symbolspolynomialan expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).terma single number or variable, or numbers and variables multiplied togethervariableAlphabetic character representing a number

Example calculations for the Polynomial Calculator

Polynomial Calculator Video


Tags:

Add This Calculator To Your Website

ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfpbytxc2opKKZnGO9qbyep6ymdWOtxmZ%2BlG58bGBprXJzgZR%2BarJdYmqChn6McWBfqJxykLC5waKlnmN8nrimd7Oeqaar