Is 4m + 2k Equal to 6mk in Algebraic Simplification?

Thread starter Rubies
Start date May 24, 2019
Tags

algebra simplify

In summary, "simplify" in algebra means to reduce an expression or equation to its most basic form by performing operations such as combining like terms, factoring, and using algebraic rules. The variables "m" and "k" in the expression 3m+2k+m represent unknown numbers, and the expression can be further simplified to 4m+2k. Simplifying algebraic expressions helps us understand the underlying structure and relationships, solve equations and real-world problems, and identify patterns and make predictions. There are rules and guidelines to follow, such as combining like terms, using the distributive property, and following the order of operations. It is also important to keep track of positive and negative signs when simplifying expressions.

May 24, 2019

Rubies

Homework Statement: 3m+2k+m

Relevant Equations: Simplify down

3m+m=4m
4m +2k =6mk
Is this correct,
help please if not correct
Thanks

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May 24, 2019

Gaussian97

Homework Helper

##m## and ##k## are different algebraic variables, so you can't add them together.

May 24, 2019

Rubies

So2k + 4 m

May 24, 2019

Gaussian97

Homework Helper

Yes, although you can factor out the 2.

Related to Is 4m + 2k Equal to 6mk in Algebraic Simplification?

What is the meaning of "simplify" in algebra?

In algebra, simplifying means to write an expression in its most basic form by combining like terms and removing unnecessary parentheses or symbols.

How do I simplify an expression with multiple variables?

To simplify an expression with multiple variables, you must first combine like terms by adding or subtracting coefficients. Then, you can use the distributive property to factor out any common factors.

What is the first step in simplifying 3m+2k+m?

The first step is to combine like terms, which in this case would be the two terms with the variable "m." This would result in the expression becoming 4m+2k.

Can the expression 3m+2k+m be simplified further?

Yes, the expression can be simplified further by factoring out a common factor. In this case, the common factor is "2," which would result in the simplified expression of 2(2m+k).