Charles factors the expression 4/3xy+1/3x using a factor of 1/3x. He writes the factored expression 1/3x(4y+1). Which best describes the accuracy of Charles solution?

A. His solution is accurate

B. His solution is inaccurate. The factor does not divide evenly into both terms.

C. His solution is inaccurate. The factoring of 4/3xy using the given GCF is incorrect.

D. His solution is inaccurate. The factoring of 1/3x using the given GCF is incorrect.

Respuesta :

A. His solution is accurate

You can verify this by expanding his factored expression: 1/3x(4y+1), which gives you back the original expression 4/3xy+1/3x

Charles' solution is accurate because expression after factorization  is similar to Charles factor's of expression option (A) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]\rm = \dfrac{4}{3}xy+\dfrac{1}{3}x[/tex]

Taking common as (1/3)x

[tex]\rm = \dfrac{1}{3}x(4y+1)[/tex]

The above expression is similar to Charles factor's of expression.

Thus, Charles solution is accurate because expression after factorization  is similar to Charles factor's of expression option (A) is correct.

Learn more about the expression here:

brainly.com/question/14083225


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