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$Question Perform the operation and combine to one fraction. (3x+5)/(x+7)+(3)/(x+5)$

Question $\newline$ Perform the operation and combine to one fraction. $\newline$ $\frac{3 x+5}{x+7}+\frac{3}{x+5}$

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Multiplication with rational exponents

Full solution

Q. Question

\newline

Perform the operation and combine to one fraction.

\newline

\frac{3 x+5}{x+7}+\frac{3}{x+5}

Question Prompt: Question prompt: Combine the two fractions into one single fraction.
Find Common Denominator: Find a common denominator to combine the fractions. The common denominator will be $(x+7)(x+5)$ .
Rewrite Fractions: Rewrite each fraction with the common denominator.
Combine Numerators: Combine the numerators over the common denominator.
Expand Numerators: Expand the numerators.
Simplify Numerator: Simplify the numerator by combining like terms.
Check for Simplifications: Check for any further simplifications. Since the numerator and denominator have no common factors, this is the final simplified form.

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